Exercise 6: A discrete-time signal x[n] has the two-sided spectrum representationshown below.2e-jx/2|-0.3л3ejr2ejπ/2x[n]0.3л9-pointAVERAGINGFILTERy[n](in radians)a) Write an equation for x[n]. Make sure to express x[n] as a real-valued signal.b) Determine the formula for the output signal y[n].

Given the Discrete time signal ,

Exercise 6: A discrete-time signal x[n] has the two-sided spectrum representation shown below. 3ejx XI 2e-jx/2 2ejn/2 -0.3л x[n] 0.37 9-point AVERAGING FILTER (in radians) a) Write an equation for x[n]. Make sure to express x[n] as a real-valued signal. b) Determine the formula for the output signal y[n]. y[n]

Exercise 6: A discrete-time signal x[n] has the two-sided spectrum representation shown below. 3ejx XI 2e-jx/2 2ejn/2 -0.3л x[n] 0.37 9-point AVERAGING FILTER (in radians) a) Write an equation for x[n]. Make sure to express x[n] as a real-valued signal. b) Determine the formula for the output signal y[n]. y[n]

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...

See similar textbooks

Similar questions

Draw the waveform of the following signal (draw from n=0 to n=5 only): x(n) = 3r(n) – 2r(n-2) + 4u(n-3). Also, draw y(n) = x(-n) Where, u(n) and r(n) are unit step, unit ramp DT functions, respectively
c) Prove that if x1(n) is an even signal and x2(n) is an odd signal their product is and odd signal.d) Using mathematical formulations compare and contrast the unit step signal with the ramp signal.
1. Sketch the following discrete-time signals. a. xn] = u[n– 5]–uln – 6] b. x[n]=10u[-n + 2]– Su[n – 2] x[»] = 48[n + 5]+ (n+5)u[n + 3]– mu[n] c.
Problem1) The following set of four waveforms is to be used for transmission across the standard AWGN channel. Assume that b = 6/T s1(t) s2(t) s3(t) s4(t) t T t T -b -b (a) Give an orthonormal basis for these waveforms. (b) Sketch the signal space characterization of this set of waveforms, i.e., the signal points s1, $2; S3; S4. (c) Determine the energy of each of the waveforms.
For the signal x[n] shown in the following figure, sketch y[n] = x[-2-n] x [n] ... ... -3 F1 J0 1 2 3 4 5 6 7
uestion 1 a) As a student of signal and systems, with mathematical representation and graphs, clearly distinguish between a continuous-time step signal and discrete-time step signal Major Topic Elementary Signals Blooms Designation AP Score 7 b) Any signal can be decomposed into its even and odd components. Derive the even and odd component of a signal x(t) and decompose the signal below into its even and odd components. X[n]=3n2-2n+20 Major Topic Even and Odd Signals Blooms Designation AN Score 7 c) Signals and Systems is a discipline that finds application in engineering, science and technology. In your own words, clearly explain the use of signals and systems in astronomy
Given the continuous-time, continuous-amplitude signal waveform x(1) -3 sample at discrete values of time and plot the discrete-time signal x[n]. Also, extract the even and odd parts of x[n]. Please show the complete and detailed solution. Thank you
6. Which one of the following is an example of a bounded signal? a) e' coswt b) e' sinw(-t) c) e* coswt d) e' cosw(-t)
(a) A discrete-time signal y[n] is given by -2n un yln] : u[n]. cos Compute the first 5 values of the signal y[n], sketch the plot of y[n] vs n and comment on the boundedness of the signal.
A sinusoid signal v(n) = 5 sin( @₂ .n) with f=5 Hz and fs = 10 kHz has to be quantized @ (Vq(n) = Q[v(n)]) with a midtreat quantizer. The range of the signal is ±5 V and the word length of the quantizer 4 bits. The quantizer is at digital full scale. (a) How many quantization levels L does the quantizer have? What is the value of A? (b) Sketch the input-output characteristic of the quantizer. How different is a midtreat quantizer to a midrise quantizer. (c) For time index n = 1250 calculate the quantized value v₁ (n), the quantization error eq(n) and represent vą (n) using RZ code. (d) Calculate the power P of the quantization noise. (e) Determine the SNR in dB.
1. Sketch the following discrete-time signals. a. xln]= u[n = 5]– u[n –6] b. xn]=10u[- n + 2]- Su[n – 2] c. xfu] = 48[n+ 5]+ (n +5)u[n+3]= mu[n] d. xr]= (0.1)" (uln] – u[n – s) с.
An analog signal x(t) is sampled at 30,000 bit/s, quantized into 1024 level. What is the sampling frequency (Fs) being used? Select one: a. Fs-2 kHz b. Fs = 1 kHz c. Fs = 10 kHz d. Fs-20 kHz e. None of the mentioned.