4. i) An input signal of an LTI system is assumed to be a rectangular pulse...

4. i) An input signal of an LTI system is assumed to be a rectangular pulse sequence x[n] of length 2L samples. Represent x[n] in terms of a unit step sequence and sketch x[n] if it turns on at n=0.

ii) Suppose the impulse response of the system is also a rectangular pulse sequence h[n] of length L samples. Represent h[n] in terms of a unit step sequence and sketch h[n] if it turns on at n=0.

iii) Determine the x[n] * h[n] using the geometric series approach

Expert Solution

Manojponduru answered 2 years ago

CHAPTER 13: DISCRETE-TIME SIGNAL (TEXTBOOK SIGNALS AND SYSTEM BY MAHMOOD NAHVI) 12. In an LTI system,...

CHAPTER 13: DISCRETE-TIME SIGNAL (TEXTBOOK SIGNALS AND SYSTEM BY MAHMOOD NAHVI) 12. In an LTI system, x(n) is the input and h(n) is the unit-sample response. Find and sketch the output y(n) for the following cases: i) x(n) = 2[u(n) - u(n - 11)] and h(n) = 0.5nu(n) ii) x(n) = 2[u(n) - u(n - 11)] and h(n) = (-0.5)nu(n) iii) x(n) = u(n) - u(n - 5) and h(n) = 0.5|n|u(n) iv) x(n) = u(n) - u(n - 5)...

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].

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)

I need MATLAB layout programming for patient monitoring system which consists of ECG signal,body temperature, pulse...

I need MATLAB layout programming for patient monitoring system which consists of ECG signal,body temperature, pulse rate and blood pressure. Please do it quickly.

2. A digital signal processing system with analog audio signal input in the range of 0-20...

2. A digital signal processing system with analog audio signal input in the range of 0-20 Khz uses oversampling techniques and a second order sigma delta modulator to convert the analog signal into a digital bit stream at a rate of 3.072 Mhz. i) Explain how the digital bit stream may be converted in to a digital multibit stream for x(n). ii) Determine the overall improvement in signal to quantization noise ratio made possible by oversampling and noise shaping and...

Consider the discrete-time LTI system characterized by the following difference equation with input and initial conditions specified

Consider the discrete-time LTI system characterized by the following difference equation with input and initial conditions specified: y[n] - 2 y[n-1] – 3 y[n-2] = x[n] , with y[0] = -1 and y[1] = 0, x[n] = (-1/2)n u[n-2]. ? Write a MATLAB program to simulate this difference equation. You may try the commands ‘filter’ or ‘filtic’ or create a loop to compute the values recursively. ? Printout and plot the values of the input signal, x[n] and the...

Consider the first order linear time-invariant (LTI) system given by, ??(?) ?? + 4?(?) = ?(?)...

Consider the first order linear time-invariant (LTI) system given by, ??(?) ?? + 4?(?) = ?(?) Where the system is initially at rest. Part a: Determine the Frequency Response H(jω) and impulse response h(t). Part b: When the input ?(?) = ?23?(?), determine the output of the system ?(?). Part c: Is the system; memoryless? causal? Stable? please justify your answer

Describe the properties of a system which converts its input signal into the even part of...

Describe the properties of a system which converts its input signal into the even part of it as output.

System,control system and signal

Describe briefly system,control system and signal, with some examples.

The impulse response of a discrete-time LTI system is given as ℎ[?] = ?[? + 1]...

The impulse response of a discrete-time LTI system is given as ℎ[?] = ?[? + 1] − ?[? − 1] a) State whether or not the system is (i) memoryless, (ii) causal, (iii) stable. Justify your answers mathematically. b) Find the output ?[?] of the system for input ?[?] = (0.5) ??[?].

Question