</table>
== Using Discrete-Time Convolution Blocks ==
The following is a list of parts needed for this part of the tutorial lesson:
<math> f[n] * g[n] = \sum_{k=-\infty}^\infty x[k]\, h[n - k] </math>
[[RF.Spice A/D]] provides nine ten Discrete-Time Convolution blocks with different numbers of samples ranging from 5 to 3264. In this part of the tutorial lesson, you are going to convolve a pulse function with itself. The For the input signal is the same pulse function of the first part with you will use a finite duration of 8s. From signal theory, we know that '''Finite Sequence Pulse Generator''' which can be accessed from the output of the convolution is a triangular signal with a duration of 16s. Place and connect the parts same menu as shown in the figure below. Set the sampling period of the 16-point DTFT block to T = 0.5s to have a sampling time window of 8s duration. <table><tr><td>[[File:SysTUT8 20.png|thumb|500px| A simple circuit to test the 16-Point Discrete-Time Convolution Blockpulse (train) generator.]]</td></tr></table> To generate a single pulse waveform sequence of duration 8s, use the following [[parameters]] for the voltage source V1:
{| border="0"
{| class="wikitable"
|-
! scope="row"| Initial Voltagepulse period (T)| 01s
|-
! scope="row"| Peak Voltagepulse width (w)
| 1
|-
! scope="row"| Delay TimeNumber of Pulses (n)| 09
|-
! scope="row"| Rise Time
| 1ns1ms
|-
! scope="row"| Fall Time
| 1ns1ms
|-
! scope="row"| Pulse WidthMaximum Output Voltage Level| 8s1V
|-
! scope="row"| Pulse PeriodStart Time| 1e+20s0
|}
<table>
<tr>
<td>
[[File:SysTUT8 20.png|thumb|500px| The property dialog of the Finite Sequence Pulse Generator.]]
</td>
</tr>
</table>
From signal theory, we know that the output of the convolution is a triangular signal with a duration of 16s.
Place and connect the parts as shown in the figure below:
<table>
<tr>
<td>
[[File:SysTUT8 20.png|thumb|500px| A simple circuit to test the 16-Point Discrete Convolution Block.]]
</td>
</tr>
</table>
Run a Transient Test of this circuit with the [[parameters]] specified below:
|-
! scope="row"| Stop Time
| 24s20s
|-
! scope="row"| Linearize Step
<tr>
<td>
[[File:SysTUT8 21.png|thumb|750px|The graph of the input pulse signal and the convolution output signal with T = 0.5s1s.]]
</td>
</tr>