Question

A nonideal D to C convert takes a discrete time signal (sequence) y[n] as input and produces a continuous time output y(t )according to the relation, y(t)=

[infinity]
Σ
n=-[infinity]
where Ts=0.4 .Assume the input sequence is given by the formula

y[n]=0.1(-2)ⁿ 0≤n≤4
0 & otherwise

for the pulse shape

p(t)= 1 & -0.2≤t≤0.2
0 otherswise
carefully sketch the output waveform y(t)

Answer 1

The question involves creating an output waveform sketch for a noni deal D to C converter with a given input sequence and pulse shape. The sketch would involve superposing scaled and shifted versions of the pulse shape according to the sample sequence.

Step-by-step explanation:

The student's question appears to be about sketching the output waveform of a nonideal digital-to-analog (D to C) converter given the input sequence y[n] and the pulse shape p(t). The input discrete-time signal is defined as y[n]=0.1(-2)n for 0≤n≤4 and zero otherwise, with a given sampling period Ts=0.4 seconds. Also, the pulse shape is given by p(t)=1 for -0.2≤t≤0.2 and zero otherwise. To sketch the output waveform y(t), the student needs to understand how to superpose scaled and shifted versions of the pulse shape p(t) according to the values of the sample sequence y[n].

Since a detailed sketching process is not presented, related concepts are shared instead. The input sequence reflects an exponentially decaying series, and each sample of this sequence would be represented in the output's continuous-time waveform by a scaled and shifted version of the pulse shape p(t). The output waveform would resemble a series of pulses with decaying amplitude.