x[n] is the input of a system and y[n] is the output of the system. The...

x[n] is the input of a system and y[n] is the output of the system. The relationship between the input and output is the following: y[n] = x[n]u[n+1] a) Is the system memoryless? Just yes or no is sufficient. b) Is this system causal? Just yes or no is sufficient. c) Is the system linear? Just yes or no is sufficient. d) Is the system time invariant? Justify. e) Is the system BIBO stable? Justify. f) Is the system invertible? Justify.

Expert Solution

Manojponduru answered 1 year ago

An FIR system produced an output y[n] as given below for an input x[n] = {1,1,1,1},...

An FIR system produced an output y[n] as given below for an input x[n] = {1,1,1,1}, y[n] = {6,11,15,18,14,10,6,3,1}. Find the FIR system. Use bk, d(n-k) equation if applicable. Thanks!

A SISO DT LTI system having input x[n] and output is described by the difference equation...

A SISO DT LTI system having input x[n] and output is described by the difference equation y[n] = 0.5x[n] + 0.5x[n-1]. Obtain the unit sample response of the system by solving the difference equation. ( DO NOT USE LaPlace transforms or Z transforms)

Consider a system with the input/output relationship y(t) = x(t)cos(15πt). (a) Is this system (i) linear,...

Consider a system with the input/output relationship y(t) = x(t)cos(15πt). (a) Is this system (i) linear, (ii) causal, (iii) stable, (iv) memoryless, (v) time-invariant, and (vi) invertible. Justify each answer with a clear mathematical argument. (b) Find the Fourier Transform Y (f) of y(t) in terms of the transform X(f) of x(t). Repeat problem (2) for the system with the input-output relationship y(t) =R1 τ=0(1−τ)2x(t−τ)dτ.

x[n] is the input of an LTI system with the impulse response of h[n]. x[n] =...

x[n] is the input of an LTI system with the impulse response of h[n]. x[n] = [1, 2, 3] and h[n] = [4, 6]. Use 4-point DFT and IDFT and zero padding of x[n] and h[n] to find the output y[n].

Algorithm1 prefixAverages1(X, n) Input array X of n integers Output array A of prefix averages of...

Algorithm1 prefixAverages1(X, n) Input array X of n integers Output array A of prefix averages of X A ← new array of n integers for i ← 0 to n − 1 do s ← X[0] for j ← 1 to i do s ← s + X[j] A[i] ← s / (i + 1) return A ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- Algorithm2 prefixAverages2(X, n) Input array X of n integers Output array A of prefix averages of X A ← new array of...

Design a detector for the input sequence X = 01011. The output Y must be 1...

Design a detector for the input sequence X = 01011. The output Y must be 1 when the sequence is detected, 0 in any other case. Draw the status diagram and generate a status table. Using the status table, design a logic circuit that generates the output function using T-type flip-flops. Please help me! Thanks!!!!

Design a Moore sequential circuit that has an input X and an output Y. The circuit...

Design a Moore sequential circuit that has an input X and an output Y. The circuit detects the following sequence: 100 Your answer should include state diagram and state table. Hint. X= 0 1 0 1 0 0 0 1 1 1 0 0 1 0 1 Y= 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0

1. f(x) = 1/2x-3 or y = 1/2x -3 The input is x and the output...

1. f(x) = 1/2x-3 or y = 1/2x -3 The input is x and the output is f(x) or y. What is the slope of the function? What is the y-intercept of the function? What is the x-intercept of the function? Graph the function. What is the slope of a horizontal line? Determine whether each function is increasing or decreasing? f(x) = 4x + 3 a(x) = 5 -2x k(x) = -4x +1 p(x) = 1/4x-3 q(x) = 4 4....

Given two functions, M(x, y) and N(x, y), suppose that (∂N/∂x − ∂M/∂y)/(M − N) is...

Given two functions, M(x, y) and N(x, y), suppose that (∂N/∂x − ∂M/∂y)/(M − N) is a function of x + y. That is, let f(t) be a function such that f(x + y) = (∂N/∂x − ∂M/∂y)/(M − N) Assume that you can solve the differential equation M dx + N dy = 0 by multiplying by an integrating factor μ that makes it exact and that it can also be written as a function of x + y,...

Section 1: Given a system y[n]-y[n-1]+y[n-2]=x[n] (refer to M3.2 on textbook) In class, we analytically derived...

Section 1: Given a system y[n]-y[n-1]+y[n-2]=x[n] (refer to M3.2 on textbook) In class, we analytically derived the solutions of second order difference equations, including zero-input response, unit impulse response, zero-state response and total response. The Matlab has imbedded commands to do the same job. Get familiar with the following commends, and use them to get (0≤n≤40) a) unit impulse response and plot it b) zero-input response and plot it, with initial conditions of y[-1]=1 and y[-2]=2 c) zero-state response and...

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