The image presents a signal processing problem involving a continuous-time (CT) linear time-invariant (LTI) system. The problem involves determining which plot correctly represents the output signal \( y(t) \).### Description:1. **Input Signal \( x(t) \):** - The input is depicted as an impulse train with impulses located at \(-2T, -T, 0, T, 2T, \ldots\). - Each impulse has an amplitude of \( A \).2. **System Characteristics:** - The system is described as a CT LTI system with a frequency response \( H(j\omega) \). - The frequency response is a rectangular function centered around zero frequency, spanning from \(-\frac{3\pi}{T}\) to \(\frac{3\pi}{T}\).3. **Diagram:** - **Block Diagram:** Shows \( x(t) \) as input to the LTI system with the output as \( y(t) \).### Task:- Determine which plot (a) to (f) represents the output \( y(t) \).### Plots:- **a)** An impulse train with impulses at \(-T, 0, T, \ldots\) and amplitude \(\frac{A}{T}\).- **b)** A continuous waveform oscillating sinusoidally between \(-\frac{A}{T}\) and \(\frac{A}{T}\), zero at intervals of \(T\). - **c)** An impulse train similar to (a) but starting from \(0\).- **d)** A sinusoidal waveform with higher frequency and amplitude spikes at integer multiples of \(T\).- **e)** Another sinusoidal waveform, oscillating between \(-\frac{A}{T}\) and \(\frac{A}{T}\), showing three cycles over one interval.- **f)** A constant line at amplitude \(\frac{A}{T}\).### Graphical Explanation:- The frequency response \( H(j\omega) \) indicates that the system acts as a low-pass filter, allowing frequencies contained within the range of \(-\frac{3\pi}{T}\) to \(\frac{3\pi}{T}\).- The choice of the correct output plot \( y(t) \) will depend on the filtering effect on the spectral components of \( x

Given: For an LTI system, x(t)=∑n=-∞∞δ(t-nT),H(jw)=1 ;-3πT≤w≤3πT0 ;Otherwise, To find: Output y(t)…

The signal xlt) is the input to a CT LTI system with frequency response H(ju). -...^^ -27 6)**: c) d) e) which plot shows the output y(t)? a) f) -T Impulse train Z x(+1 -27 -27 T A/T T A/T A/T 3A/T 2T A/T A/T ↑ T 2A/T ww TAXE H(jw) 2T -t 31 LTI H(jw) ylt) V 2T 3T t 3TT Frequency Response W

The signal xlt) is the input to a CT LTI system with frequency response H(ju). -...^^ -27 6)**: c) d) e) which plot shows the output y(t)? a) f) -T Impulse train Z x(+1 -27 -27 T A/T T A/T A/T 3A/T 2T A/T A/T ↑ T 2A/T ww TAXE H(jw) 2T -t 31 LTI H(jw) ylt) V 2T 3T t 3TT Frequency Response W

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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