Verilog-A Functions

$abstime

real_time = $abstime ;

In transient analysis, returns the absolute simulation time in seconds. In all other analyses returns zero.

$bound_step

$bound_step( expression ) ;

Does not return a value.

In transient analysis, instructs simulator to limit the next timestep to the value of expression.

$debug

$debug( list_of_arguments ) ;

Does not return a value.

$debug is a display function that displays information in the command shell. See $display for a description of its arguments. The $debug function writes to the command shell on every iteration. By contrast, other display functions such as $display only write information when an iteration has converged.

See Also

$discontinuity

$discontinuity [ ( constant_expression ) ] ;

Does not return a value.

Currently $discontinuity performs no action.

$display

$display( list_of_arguments ) ;

Does not return a value.

$display displays text in the command shell when the current iteration converges.

The arguments can be any sequence of strings, integers or reals. The function will display these values in the order in which they appear. The values will be output literally except for the interpretation of special characters that may appear in string values. The special characters are backslash ('\ ') and percent ('%'). '\ ' is used to output special characters according to the following table:

The '%' character must be followed by a character sequence that defines a format specification. In execution, the '%' and the format characters are substituted for the next value in the argument list, formatted according to the string. User's conversant with the 'C' programming language will have seen this method in the printf function. For example, %d specifies that an integer be displayed in decimal format. So, if count has a value of 453, the following:

$display("Count=%d", count) ;

would display:

Count=453

in the command shell.

The following table shows the format codes available:

Real Number Formats

Real numbers have their own more complex format codes. These are in the form:

% [flag] [width] [.precision] type

where:

Notes

integer count ;
...
$display("Count=%g", count) ;

Note that the type (i.e. integer or real) of literal constants is determined by the way they are written. If a decimal point is included or if exponential or engineering formats are used, the number is real. Otherwise it is an integer. So '11' is an integer, while 11.0 is a real.

See Also

$fclose

$fclose( file_descriptor ) ;

Does not return a value.

Closes one or more file descriptors opened with $fopen.

See Also

$fdebug

$fdebug( file_descriptor, list_of_arguments ) ;

Does not return a value.

As $debug, but writes to a file or files defined by file_descriptor.

See Also

$fdisplay

$fdisplay(  file_descriptor, list_of_arguments ) ;

Does not return a value.

As $display, but writes to a file or files defined by file_descriptor.

See Also

$fflush

$fflush( file_descriptor) ;

Does not return a value.

Forces the immediate flushing of a file stream. File writes using $fwrite are buffered in memory before being written to disk. This system task forces the buffer to be written out to the file at the end of the current step.

$finish

$finish [ ( n ) ]

Does not return a value.

Instructs simulator to abort. Currently the argument is ignored.

$fmonitor

$fmonitor(  file_descriptor, list_of_arguments ) ;

Does not return a value.

As $monitor, but writes to a file or files defined by file_descriptor.

$fopen

integer file_descriptor = $fopen( filename ) ;

Returns an integer representing a multi-channel file descriptor. The descriptor can be used as an argument to $fdebug, $fdisplay, $fmonitor, $fstrobe and $fwrite to write output to a file.

There are 31 possible channels each represented by a single bit in the 32 bit returned value. The top (most significant bit) is reserved. The bottom (least siginificant) is used for standard output - i.e. displays to the command shell. Each new call to $fopen will assign the next channel and set the relevant bit. By or'ing together the results from multiple calls to $fopen, it is possible to write to more than one file at a time.

SIMetrix has a special extension to this function providing access to the list file. Use the filename "<listfile>" and the descriptor returned will access it. The following code for example will create a file descriptor that will provide writes to both the list file and a user file:

fd = $fopen( "<listfile>" ) ;
fd = fd | $fopen( "a_text_file.txt") ;

Further, by or'ing with 1 the file descriptor will also write to the command shell.

The file descriptor should be closed with $fclose.

See Also

$fstrobe

$fstrobe(  file_descriptor, list_of_arguments ) ;

Does not return a value.

As $strobe, but writes to a file or files defined by file_descriptor. Note that the $strobe and $display functions are identical. For detailed documentation see $display.

See Also

$fwrite

$fwrite(  file_descriptor, list_of_arguments ) ;

Does not return a value.

As $write, but writes to a file or files defined by file_descriptor. Note that the $write function is identical to $display, except that it does add a new line character. For detailed documentation see $display.

See Also

$mfactor

real_value = $mfactor ;

$mfactor does not take any arguments.

Returns the scaling factor applied to the instance. The scaling factor may be set using the $mfactor parameter or using a subcircuit multiplier M. If both are used, the final scale factor will be the product of these. Refer to the LRM for more details.

The LRM currently stipulates that compilers should raise an error if $mfactor is used inappropriately. This is not currently implemented and $mfactor may be used for any purpose.

$monitor

$monitor( list_of_arguments ) ;

Does not return a value.

$monitor behaves in a similar manner to $display except that it only outputs a result when there is a change. In other words, the behaviour is the same as $display except that successive repeated messages will not be output.

See Also

$param_given

integer_value = $param_given( parameter_name ) ;

parameter_name must be a parameter defined using the parameter keyword. Returns a non-zero number if parameter_name has been specified in a .MODEL statement or on the instance line where relevant.

$port_connected

integer_value = $port_connected( port_name[ [index_expression] ] ) ;

Returns a non-zero value if the specified port_name is connected externally. If the port is vectored, then index_expression defining the element within the vector must also be specified. No error will be raised if the index supplied is out of range; the function will simply return false (zero).

Currently, this function will only deem a port to be unconnected if no node is specified for it in the instance netlist line. It will return true (non-zero) if a node name is supplied on the netlist line but is not connected to any other component in the netlist. For example, consider a model for a four-terminal BJTwith nodes 'C', 'B', 'E' and 'S' where 'S' is the substrate connection:

Q1 C B E S bjtmodelname

In the above the substrate connection is the node S. In this case $port_connected(S) would return true regardless of whether or not S was connected to anything else. Now consider the three terminal case:

Q1 C B E bjtmodelname

$random

integer_value = $random [ (seed) ] ;

Returns a random number. This has three modes of operation according what if anything is supplied for seed.

Mode 1: no seed

$random will return a new random number on each call with the system choosing the seed when random is used for the first time.

Example:

value = $random ;

Mode 2: constant seed

seed may be either a literal constant or a constant expression dependent only on literal constants and parameters. In this mode $random will return a fixed random value which will not update.

Example:

parameter seed=23 ;
...
value = $random(seed) ;

Mode 3: initialised integer variable seed

In this mode the seed variable will be updated on each call and a new random number will be generated. The sequence of random numbers will thus be repeatable given the same initial value for seed.

Example:

real seed ;
...
@(initial_step)
seed = 23 ;
...
value = $random(seed) ;

In the above, the value of seed will be updated each time random is called.

$simparam

real_value = $simparam( string [ , default_value ] ) ;

Returns the value of a simulator parameter defined by string. Possible values of string are described below. If an unknown string is supplied, $simparam will return the value of default_value if given. If no default_value value is given, a run-time error will be raised.

The first six items in the above follow recommended names in the Verilog-A LRM. The remainder are special to SIMetrix.

$stop

$stop [ ( n ) ] ;

The function does not return a value. Pauses simulation after completion of current step and leaves the simulator in the same state as if the user pressed the pause button.

The argument n currently has no effect.

See Also

$strobe

$strobe( list_of_arguments ) ;

Does not return a value.

Identical to the $display function.

See Also

$table_model

real_value =
$table_model( table_inputs, table_data_source, table_control_string) ;

$table_model implements a multidimensional lookup table. Full details can be found in the language reference manual (LRM) para 9.21 which may be obtained from Verilog-A Language Reference Manual. SIMetrix implements the LRM 2.4 specification in full.

Inputs

The first set of arguments to the function are its inputs, one input for each dimension. So if the table is defined with 2 dimensions, there must be two inputs.

Data Source

The data to define the table is provided after the inputs. This can either be the name of a file in which case the data is read from that file or it can be entered as a series of arrays. There must be at least N+1 arrays where N is the number of dimensions. The first N arrays define values for the corresponding input while the final array defines the output values. There can be more than N+1 arrays with the arrays actually used being defined by the control string. See below for details.

In the LRM and in the following description, data arrays are referred to as columns.

Data Source File Format

The data for the table may be defined in a file. The data in the file is arranged in columns with each value separated by a space or tab. Each row of data must occupy a single line. Comments begin with '#' and continue to the end of that line. They may appear anywhere in the file. Blank lines are ignored. The numbers shall be real or integer.

Control String

The final argument to the function is the control string. This defines a number of options for interpolation, extrapolation and data selection.

The control string is in the form <code>,<code>,...;<out-column>. Each of the <code> strings corresponds to an input column. It consists of up to three characters. The first character may be I, D, 1, 2 or 3 and control the interpolation method as defined in the following table:

The interpolation character may be omitted in which case it defaults to linear interpolation.

The second and third characters define the extrapolation method to use when the input variable overruns the table range. The first character defines the behaviour at the lower end and the second character defines the upper end. The letter may be L, C or E as defined below:

If only one character is provided, it is applied to both ends of the table. If no extrapolation characters are provided, linear extrapolation is used at both ends.

The <out-column> value in the control string defines the column used for the output data. The default is 1 which means the first column encountered after the input data is the output column.

As stated earlier, there must be at least N+1 columns where N is the number of dimensions. The number of dimensions is determined from the number of input variables supplied. There can be more than one column in which case the 'I' character can be used to mark columns that are ignored for input.

It is legal to provide an empty control string, or miss out the argument altogether, in which case all inputs are defined as "1LL" and the output data is at column N+1 where N is the number of dimensions.

Interpolation Methods

Care must be taken when choosing an interpolation method. While the higher order quadratic and cubic spline methods offer a smoother response, they are both capable of exhibiting instability sometimes with disastrous results. This is especially the case when the input data has abrupt changes in slope. The quadratic spline is considerably more prone to this than the cubic spline. It is recommended that a sample test is performed using a DC sweep to check the behaviour.

To see the dangers of specifying spline interpolation, consider the application of fitting the I-V characteristics of a diode to a $table_model function. Below shows such a device modelled using linear interpolation (top) and cubic interpolation (bottom):

Diode table model - high current

The lower cubic-spline-interpolated curve looks perfectly good and shows a smoother response to the upper linear interpolated response. But now look at the zero crossing:

Diode table model - low current

The upper linear curve faithfully follows the entered data points, but the lower cubic- spline-interpolated curve not only goes negative but its slope also reverse sign. This would give completely erroneous results in a simulation. Providing more closely spaced points around the zero crossing can resolve these problems.

The choice of interpolation method may also impact the simulation performance. For the inner most dimension of the table the burden of calculation is small no matter which interpolation technique is chosen. But the choice can affect how quickly the simulation converges and this is circuit dependent. This can only be assessed by experiment.

However, for higher dimensions in a multi-dimension table, there can be a significant performance penalty using anything other than linear or discrete interpolation. For the higher dimensions, the y-values in the lookup table are derived from interpolating a lower dimension and are thus different on each call. This means that the spline coefficients need to be recalculated on every iteration For the spline methods, the entire data set needs to be processed to calculate the coefficients even for just a single segment.

Extrapolation Methods

Three extrapolation options are provided: constant, linear and error. The extrapolation options define how the table function behaves when an input variable exceeds the data range of the table. With constant extrapolation, the end point value is maintained. With linear extrapolation the value follows a straight line with a slope dependent of the interpolation method - see below.

With the error option, the simulation aborts and an error raised if an attempt is made to exceed the input range. Note that the abort only takes place after the iteration has converged and only if the converged result is outside the range. The simulation will not abort if the table input range is exceeded while iterating to convergence but finally converges within range. Linear extrapolation will be selected while iterating to convergence.

The definition of the quadratic and cubic spline interpolators is influenced by the choice of extrapolation. With cubic splines, two constraints, one at each end of the table, need to be set in order to complete the spline definition. If constant extrapolation is selected the constraint is set to be a zero first derivative. If linear extrapolation is set, a zero second derivative is chosen as the constraint and the slope at the end point is chosen as the extrapolation gradient.

For quadratic splines, only a single constraint may be defined. So a zero derivative may be specified at one end but not the other. This leads to a difficulty if both ends are defined with constant extrapolation. The LRM does not define what should be done in this situation. SIMetrix will choose a zero derivative at the lower end, then force continuation of the final point at the upper end. This may lead to a discontinuous slope at the upper end.

$temperature

real_value = $temperature ;

Returns the current simulation temperature in Kelvin.

$vt

real_value = $vt [ ( temperature_expression ) ] ;

Returns the thermal voltage at temperature_expression. If temperature_expression is not supplied, the value at the current simulation temperature will be returned.

The thermal voltage is defined as

\[ \frac{KT}{q} \]

Where, ???MATH???K???MATH??? is boltzmann's constant, ???MATH???T???MATH??? is temperature (defined by temperature_expression) and ???MATH???q???MATH??? is the charge on an electron. The values used for ???MATH???K???MATH??? and ???MATH???q???MATH??? are those that are used for other simulator models and are the best values known at the time the original SPICE program was developed. Since that time the accepted values for ???MATH???K???MATH??? and ???MATH???q???MATH??? have been altered slightly.

$write

$write( list_of_arguments ) ;

Does not return a value.

$write is identical to the $display function except that it does not add a new line character at the end of the text. A new line may be explicitly inserted using the '\ n' sequence.

See Also

abs

real_value = abs( x ) ;

Returns the absolute value of x.

absdelay

real_value = absdelay( expression, tdelay [ , maxdelay ] ) ;

Applies a transport delay to an input signal.

In DC analyses, tdelay is ignored and the return value of absdelay is expression. In AC analysis, the signal defined by expression is phase-shifted according to:

\[ \text{output}\left(\omega\right) = \text{input}\left(\omega\right)\exp(-j\omega\cdot\text{tdelay}) \]

In transient analysis, the signal is delayed by an amount equal to the instantaneous value of tdelay as long as it is positive and less than maxdelay. absdelay stores the past history of expression up to maxdelay so that it can retrieve the requested delayed point instantaneously.

absdelay is an analog operator and is subject to Analog Operator Restrictions.

See Also

ac_stim

real_value = ac_stim( [analysis_name_string [ , mag [ , phase ]]] ) ;

Provides a stimulus for AC analysis, essentially identical the AC spec for a standard SPICE voltage source or current source.

acos

real_value = acos( x ) ;

Returns inverse cosine in radians of x. Input range is +/- 1.

acosh

real_value = acosh( x ) ;

Returns the inverse hyperbolic cosine of x. Range is 1.0 to ???MATH???\infty???MATH???.

analysis

integer_value = analysis( analysis_list ) ;

Returns non-zero if the current analysis matches any of the analysis names in the argument list. analysis_list is a list of strings as defined in the following table.

asin

real_value = asin (x ) ;

Returns the inverse sine in radians of x. Range is +/- 1.0.

asinh

real_value = asinh( x ) ;

Returns the inverse hyperbolic sine of x. Range is ???MATH???-\infty???MATH??? to ???MATH???+\infty???MATH???.

atan

real_value = atan( x ) ;

Returns the inverse tangent in radians of x. Range is ???MATH???-\infty???MATH??? to ???MATH???+\infty???MATH???.

atan2

real_value = atan2( x, y ) ;

Returns the inverse tangent in radians of x/y. The function will return a meaningful value when y is zero.

atanh

real_value = atanh( x ) ;

Returns the inverse hyperbolic tangent of x. Range is +/- 1.0.

ceil

real_value = ceil( x ) ;

Returns the next integer value greater than x.

See Also

cos

real_value = cos( x ) ;

Returns the cosine of x expressed in radians. Range is ???MATH???-\infty???MATH??? to ???MATH???+\infty???MATH???.

cosh

real_value = cosh( x ) ;

Returns the hyperbolic cosine of x. Range is approx -709 to +709.

cross

cross( expression [,edge [,time_tol [,expr_tol ]]])

cross is an event function and may only be used in event expressions.

Cross Event Function Behaviour

cross stores state information in the same way as an analog operator. It is therefore subject to Analog Operator Restrictions.

See Also

ddt

real_value = ddt( expression ) ;

Returns the time derivative of expression:

\[ \frac{d}{dt}\text{expression} \]

In DC analyses, ddt returns zero. In AC analysis, the function is defined by the relation:

\[ \text{output}\left(\omega\right) = input\left(\omega\right)\cdot j\omega \]

ddt is an analog operator and is subject to Analog Operator Restrictions.

See Also

ddx

real_value = ddx( expression, unknown_variable) ;

Performs symbolic differentiation on expression with respect to unknown_variable, which must be defined in terms of an access function in one of the following forms:

potential_access_identifier( net_or_port_scalar_expression )

flow_access_identifer( branch_identifier )

A potential_access_identifier is defined in the discipline declarations and is usually 'V' for the electrical discipline. Similarly, the flow_access_identifier is usually 'I' for the electrical discipline.

net_or_port_scalar_expression can be a module port node or an internal node.

branch_identifier can be a branch defined with the branch keyword or an unnamed branch specifying the nodes connected to the branch.

exp

real_value = exp( x ) ;

Returns the exponential of x. Range is ???MATH???-\infty???MATH??? to about 709.

See Also

flicker_noise

real_value = flicker_noise( power, exp [, name]) ;

flicker_noise is only active in small-signal noise analysis and real-time noise analysis; in other analysis modes it returns zero. It creates a noisy signal with a power of power at 1Hz which varies in proportion to ???MATH???1/f^{\text{exp}}???MATH???.

name may be used to combine noise sources in the output report and vectors. Noise sources with the same name in the same instance will be combined together.

In real-time noise analysis flicker_noise simply returns a random number whose statistical distribution satisfies the characteistic of ???MATH???1/f???MATH??? noise. In small signal analysis flicker_noise defines a ???MATH???1/f???MATH??? noise source that may be propagated to any output node.

See Also

floor

real_value = floor( x ) ;

returns the next lower integer to x.

See Also

hypot

real_value = hypot( x, y ) ;

Returns ???MATH???\sqrt{x^2 + y^2}???MATH???.

idt

real_value = idt( expression [, initial_condition [, assert [, abstol]] ] ) ;

Returns the time integral of expression.

initial_condition if supplied, sets the value of the function for DC analyses including the dc operating point that precedes other analyses.

If initial_condition is not supplied, idt must exist inside a closed feedback loop. With no initial condition the DC gain of idt is infinite; by putting the function inside a loop, the simulator can maintain the input at zero providing a finite output. A singular matrix error will result otherwise.

If assert is non-zero, the integrator is reset and the return value is the value of initial_condition. Care should be taken when using assert as it can result in discontinuous behaviour leading to convergence problems.

abstol is accepted but currently is not functional.

idt is an analog operator and is subject to Analog Operator Restrictions.

See Also

idtmod

real_value = idtmod( expression [, ic [, modulus [, offset [, abstol]]] ] ) ;

Returns the time integral of expression.

ic if supplied, sets the value of the function for DC analyses including the dc operating point that precedes other analyses.

If ic is not supplied, idt must exist inside a closed feedback loop. With no initial condition the DC gain of idt is infinite; by putting the function inside a loop, the simulator can maintain the input at zero providing a finite output. A singular matrix error will result otherwise.

modulus and offset: modulus is an expression that must evaluate to a positive value. If not present, idtmod() behaves like idt(). If present, idtmod() returns k where offset <= k < modulus. ???MATH???$\int x(t)dt + ic = n.modulus + k???MATH???$ where n is an integer and ic is the initial condition. offset is zero if not provided.

idtmod is an analog operator and is subject to Analog Operator Restrictions.

See Also

laplace_nd

real_value = laplace_nd(expr, num_coeffs, den_coeffs [, $\epsilon$]) ;

The laplace_nd analog operator implements a Laplace transfer function. This is in the form:

\[ H(s) = \frac{n_0 + n_1\cdot s + n_s\cdot s^2 + ... + n_m\cdot s^m}{d_0 + d_1\cdot s + d_2\cdot s^2 + ... + d_m\cdot s^m} \]

where ???MATH???d_0, d_1, d_2, ..., dm???MATH??? are the denominator coefficients and ???MATH???n_0, n_1, n_2, ..., n_m???MATH??? are the numerator coefficients and the order is ???MATH???m???MATH???.

If the constant term on the denominator ( ???MATH???d_0???MATH??? in equation above) is zero, the laplace function must exist inside a closed feedback loop. With a zero denominator, the DC gain is infinite; by putting the function inside a loop, the simulator can maintain the input at zero providing a finite output. A singular matrix error will result otherwise.

laplace_nd is an analog operator and is subject to Analog Operator Restrictions.

See Also

laplace_np

real_value = laplace_np(expr, num_coeffs, poles [, $\epsilon$]) ;

laplace_np is an analog operator and is subject to Analog Operator Restrictions.

See Also

laplace_zd

real_value = laplace_zd(expr, zeros, den_coeffs [, $\epsilon$]) ;

laplace_zd is an analog operator and is subject to Analog Operator Restrictions.

See Also

laplace_zp

real_value = laplace_zp(expr, zeros, poles [, $\epsilon$]) ;

laplace_zp is an analog operator and is subject to Analog Operator Restrictions.

See Also

last_crossing

real_value = last_crossing( expression, direction ) ;

last_crossing returns the time in seconds when expression last crossed zero. First order interpolation is used to estimate the time of the crossing. direction controls the direction of the crossing. If +1 then the most recent positive transition is returned. If -1, the most recent negative transition and if zero the most recent in either direction is returned.

last_crossing returns a negative number if expression has not crossed zero since the start of the simulation. SIMetrix Verilog-A last_crossing implementation also returns a negative number for DC analyses but this is not defined in the standard.

last_crossing is an analog operator and is subject to Analog Operator Restrictions.

limexp

real_value = limexp( x ) ;

Returns the exponential of x. limexp limits its change in output from iteration to iteration in order to improve convergence. In situations where its return value is not the true exponential of x it will force further iterations. The iteration will only be accepted when the result is the true value of exp(x). Thus, limexp can be seen as a direct replacement for exp but with improved convergence. But note that limexp is an analog operator and is therefore subject to Analog Operator Restrictions.

See Also

ln

real_value = ln( x ) ;

Returns the natural logarithm of x. Range is 0.0 to ???MATH???\infty???MATH???.

log

real_value = log( x ) ;

Returns the logarithm to base 10 of x. Range is 0.0 to ???MATH???\infty???MATH???.

max

real_value = max( x, y ) ;

Returns x or y whichever is larger. Equivalent to ( x>y ? x : y )

min

real_value = min( x, y ) ;

Returns x or y whichever is smaller. Equivalent to ( x<y ? x : y )

pow

real_value = pow( x, y ) ;

Returns ???MATH???x^y???MATH???. if x is less than zero, y must be an integer. If ???MATH???x=0???MATH???, y must be greater than zero.

sin

real_value = sin( x ) ;

Returns the sine of x given in radians. Range ???MATH???-\infty???MATH??? to ???MATH???\infty???MATH???.

sinh

real_value = sinh( x ) ;

Returns the hyperbolic sine of x. Range is approx -709 to +709.

slew

real_value = slew( expression [, slew_pos [, slew_neg]] ) ;

Implements a slew rate limiter. slew_pos is expected to be positive and slew_neg is expected to be negative. If slew_neg is not specified or greater than or equal to zero, it assumes a value of -slew_pos. If neither slew_pos or slew_neg is present, expression is passed through to value unchanged.

slew limits the positive and negative rate of change of its return value to slew_pos and slew_neg respectively.

slew is an analog operator and is subject to Analog Operator Restrictions.

See Also

sqrt

real_value = sqrt( x ) ;

Returns the square root of x. Range is 0 to ???MATH???\infty???MATH???. Although valid, ???MATH???x=0???MATH??? should be avoided and if possible code included to prevent ???MATH???x=0???MATH???. This is because the first derivative of sqrt at zero is infinite and convergence at this value can be problematic.

tan

real_value = tan(  x ) ;

Returns the tangent of x given in radians. Range is ???MATH???-\infty???MATH??? to ???MATH???\infty???MATH???.

tanh

real_value = tanh( x ) ;

Returns the hyperbolic tangent of x. Range is ???MATH???-\infty???MATH??? to ???MATH???\infty???MATH???.

timer

timer( time [, period [, time_tol]])

timer is an event function and may only be used in an event statement in the form:

@(timer(...))
statement ;

statement is executed when the event is triggered.

timer sets a future event to occur at a specified time either just once or repeating at a specified period.

The event is first scheduled at time. If period is specified and is greater then zero, subsequent events will also be scheduled at time + n*period where n is a positive integer.

Usually the specified event will be scheduled at exactly the time specified. However, the analog simulator will not allow time points to be forced too close together as this can lead to numerical problems as well as unnecessarily long simulation times. For this reason, the simulator may schedule the event slightly later than specified if the time point is to close to an existing time point, perhaps set by another device. The time_tol argument controls the tolerance of the event time. The simulator will always schedule the event so that it is within time_tol of the requested time. If time_tol is not specified the event will be scheduled after the requested time but not more than the amount specified by the MINBREAK simulaion parameter.

See Also

transition

real_value = transition(expr[, td[, rise_time[, fall_time [, time_tol]]]]);

The transition analog operator converts the discrete input value to a continuous output value using specified rise and fall times.

Its arguments are:

If fall_time is omitted and rise_time is specified, the fall_time will default to rise_time. If neither is specified or are set to zero, a minimum but non-zero time rise/fall time is used. This is set to the value of MINBREAK which is the minimum break point value. Refer .OPTIONS in the Simulator Reference Manual/Command Reference/.OPTIONS for details of MINBREAK.

The transition analog operator should not be used for continuously changing input values; use the slew or absdelay analog operators instead.

transition is an analog operator and is subject to Analog Operator Restrictions.

See Also

white_noise

real_value = white_noise( power [, name]) ;

white_noise is only active in small-signal noise analysis and real-time noise analysis; in other analysis modes it returns zero. It creates a noisy signal with a power of power and a flat frequency distribution.

name may be used to combine noise sources in the output report and vectors for small-signal noise analysis. name is ignored with real-time noise analysis. Noise sources with the same name in the same instance will be combined together.

In real-time noise analysis white_noise simply returns a random number whose statistical distribution satisfies the characteristic of Gaussian noise. In small signal analysis white_noise defines a noise source that may be propagated to any output node.

See Also

zi_nd

real_value = zi_nd(expr,numerator,denominator,interval,[transition,[delay]]) ;

The zi_nd function implements a linear discrete-time filter defined by z-transform coefficients for both numerator and denominator. Its arguments are:

The function implements the z-transform:

???MATH???\frac{ \displaystyle \sum^{M-1}_{k=0}n_k z^{-k}}{ \displaystyle \sum^{N-1}_{k=0}d_k z^{-k} }???MATH???

where ???MATH???n_k???MATH??? is the ???MATH???k^{th}???MATH??? numerator coefficient and ???MATH???d_k???MATH??? is the ???MATH???k^{th}???MATH??? denominator coefficient.

The numerator and denominator coefficients may be passed to the function either as array parameters or variables or directly as array initialisers. An array initialiser is a sequence of comma separated values enclosed with '{' and '}'. E.g: { 1.0, 2.3, 3.4, 4.5}. The values do not need to be constants. If they are non-constant, the value at the start of the simulation will be used

If transition is omitted, a default minimum time is used. If it is set to zero, the transition time will be uncontrolled; in this case the result of this function should be further filtered to avoid convergence issues. The Verilog-A LRM does not allow a z-transform filter to be directly assigned to a branch if a transition time of zero is set. Currently, SIMetrix does not enforce this rule.

zi_nd Examples

V(out) <+ zi_nd(V(in), {1,-0.9921}, {1,-1.9842,1}, 100u, 1n, 0.0) ;

The above implements the z-transform: ???MATH???\frac{\displaystyle 1-0.9921.z^{-1}}{\displaystyle 1-1.9842.z^{-1}+z^{-2}}???MATH???

zi_np

real_value = zi_np(expr,numerator,poles,interval,[transition,[delay]]) ;

The zi_np function implements a linear discrete-time filter defined by z-transform numerator coefficients and by pole locations.

Its arguments are:

The function implements the z-transform:

???MATH???\frac{ \displaystyle \sum^{M-1}_{k=0}n_k z^{-k}}{ \displaystyle \prod^{N-1}_{k=0} 1-z^{-1}\rho_k }???MATH???

where ???MATH???n_k???MATH??? is the ???MATH???k^{th}???MATH??? numerator coefficient and ???MATH???\rho_k???MATH??? is a complex number defining the ???MATH???k^{th}???MATH??? pole.

The numerator coefficients and pole locations may be passed to the function either as array parameters or variables or directly as array initialisers. An array initialiser is a sequence of comma separated values enclosed with '{' and '}'. E.g: { 1.0, 2.3, 3.4, 4.5}. The values do not need to be constants. If they are non-constant, the value at the start of the simulation will be used.

If transition is omitted, a default minimum time is used. If it is set to zero, the transition time will be uncontrolled; in this case the result of this function should be further filtered to avoid convergence issues. The Verilog-A LRM does not allow a z-transform filter to be directly assigned to a branch if a transition time of zero is set. Currently, SIMetrix does not enforce this rule.

zi_np Examples

V(out) <+ zi_np(V(in),{1,-0.9921},{0.9921,-0.1253,0.9921,0.1253},100u,1n,0.0) ;

The above implements the z-transform: ???MATH???\frac{\displaystyle 1-0.9921.z^{-1}}{\displaystyle (1-z^{-1} (0.9921-0.1253j) ) (1-z^{-1} (0.9921+0.1253j) ) }???MATH???

zi_zd

real_value = zi_zd(expr,zeros,denominator,interval,[transition,[delay]]) ;

The zi_zd function implements a linear discrete-time filter defined by z-transform zero locations and by denominator coefficients.

Its arguments are:

The function implements the z-transform:

???MATH???\frac{\displaystyle \prod^{M-1}_{k=0} 1-z^{-1}\zeta_k }{ \displaystyle \sum^{N-1}_{k=0}d_k z^{-k} }???MATH???

where ???MATH???\zeta_k???MATH??? is a complex number defining the ???MATH???k^{th}???MATH??? zero and ???MATH???d_k???MATH??? is the ???MATH???k^{th}???MATH??? denominator coefficient.

The zero locations and denominator coefficients may be passed to the function either as array parameters or variables or directly as array initialisers. An array initialiser is a sequence of comma separated values enclosed with '{' and '}'. E.g: { 1.0, 2.3, 3.4, 4.5}. The values do not need to be constants. If they are non-constant, the value at the start of the simulation will be used.

If transition is omitted, a default minimum time is used. If it is set to zero, the transition time will be uncontrolled; in this case the result of this function should be further filtered to avoid convergence issues. The Verilog-A LRM does not allow a z-transform filter to be directly assigned to a branch if a transition time of zero is set. Currently, SIMetrix does not enforce this rule.

zi_zd Examples

V(out) <+ zi_zd(V(in), {0.9921,0}, {1,-1.98422,1}, 100u, 1n, 0.0) ;

The above implements the z-transform: ???MATH???\frac{\displaystyle 1-0.9921.z^{-1}}{\displaystyle 1 -1.98422 z^{-1} + z^{-2} }???MATH???

zi_zp

real_value = zi_zp(expr,zeros,poles,interval,[transition,[delay]]) ;

The zi_zp function implements a linear discrete-time filter defined by z-transform pole and zero locations.

Its arguments are:

The function implements the z-transform:

???MATH???\frac{ \displaystyle \prod^{M-1}_{k=0}1-z^{-1}\zeta_k}{ \displaystyle \prod^{N-1}_{k=0} 1-z^{-1}\rho_k}???MATH???

where ???MATH???\zeta_k???MATH??? is a complex number representing the ???MATH???k^{th}???MATH??? zero and ???MATH???\rho_k???MATH??? is a complex number representing the ???MATH???k^{th}???MATH??? pole.

zi_zp Examples

V(out) <+ zi_zp(V(in), {0.9953,0}, {0.9048,0,0.9048,0}, 100u, 1n, 0.0) ;

The above implements the following z-transform with a 100us sampling interval and 1ns transition time:

???MATH???\frac{\displaystyle (1-0.9953.z^{-1})}{\displaystyle (1-0.9048.z^{-1})(1-0.9048.z^{-1})}???MATH???