1.58. Consider a discrete-time system with the input-output relationy[n] = T{x[n]} = x²[n]Determine whether it is (a) memoryless, (b)causal, (c) linear, (d) time-invariant, or (e) stable.

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Answered: 1.58. Consider a discrete-time system…

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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24 following equation: ) Consider the discrete-time system whose output y[n] is related to the input x[n] by the y[n] = 2x²[n – 1] Determine whether the system is memoryless, linear, causal, shift-invariant, BIBO stable, and invertible? Explain your reasonings.
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Design a combinational circuit with three inputs x, y, and z with three outputs A, B, and C, when the binary input is 0, 1, 2, and 3, the binary output increases by two (x+2). When the binary input is 4, 5, 6, and 7, the binary output is decremented by three (x+3).And with the information obtain the minimized expression of each the outputs: A=? B=? and C=? usng karnaugh maps
Problem 1. (B01) Characterize the systems below, i.e. see what properties they have or do not us-00 JT=- have. The properties you should be investigate for are (i) homogeneity, (ii) superposition property, (iii) linearity, (iv) time-invariance, (v) causality, (vi) memoryless property and (vii) Bounded- Input/Bounded-Output (BIBO) stability. Assume that their inputs z is an arbitrary, complex- valued signal. T {x(t)} = |x(t)| T2 {r(t)} = Re {x(t))} (la) (1b) T3 {r(t)} = x*(t) TA {r(t)} = x²(t) x² (t-1) (lc) (ld) when r(t) + 0 T3 {x(t)} = r(t) (le) otherwise T6 {r(t)} = x(t) cos (wt), w> 0 T7 {r(t)} = x(t)u(t) (1f) (1g) 1 Ts {r(t)} = T I(T)dr, T> 0 (1h) dr(t) T9 {r(t)} = 2. dt2 t rtoo | v(T)x(t' –T)dr, where v is a given signal (li) Comments: T; is not BIBO stable, but it is quite hard to show. So, if you don't manage to tackle it, don't worry; just review its solution, when it is posted.
Q1: A PAM signal f(t) = 2 sin 2 n 2t is sampled at rate of 16 Hz using 8 levels quantization. What is the stream of binary bits generated after the A/D conversion is complete & What is the resulting bit rate from this A/D? * Note that the question relates to communication materials
For Digital Signal Processing: You are provided a continuous time signal x(t) having an amplitude (positive or negative) of 3.1 Volts. You are given 2 choices for an A/D converter: (1) a 4-bit A/D converter with an amplitude (positive or negative) range of 8 Volts, (2) a 3-bit A/D converter with an amplitude (positive or negative) range of 3.5 Volts. Which converter will give less maximum error?
I need help with problem A only!
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Design a circuit with three inputs x, y, and z representing the bits in a binary number, and three outputs (a, b, and c) also representing bits in a binary number. When the input is 0, 1, 6, or 7, the binary output will be the complement of the input. When the binary input is 2, 3, 4, or 5, the output is the input shifted left with rotate. (For example, 3 = 011 outputs 110; 4 = 100 outputs 001.) Show your truth table, all computations for simplification, and the final circuit.
OUTPUT y(k).( NEED ONLY NEAT EXPLANATION HANDWRITTEN SOLUTION ONLY PLEASE OTHERWISE DOWNVOTE).

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1.58. Consider a discrete-time system with the input-output relation y[n] = T{x[n]} = x²[n] Determine whether it is (a) memoryless, (b) causal, (c) linear, (d) time-invariant, or (e) stable.