Reference no: EM133043282

CIS047-2 Circuit Analysis & Signal Processing - University of Bedfordshire

Portfolio

Learning outcome 1: Demonstrates detail knowledge of well stablished circuit theories and concepts, and evaluate their applications using complementary tools and techniques.

Learning outcome 2: Apply various circuit analysis principles and techniques to analyse the behavior of electrical circuits, signals and systems using appropriate software tools.

PART A.

Problem 1

a) Describe the signals presented in Figure 1, mathematically.

b) Sketch the following signal: f(at -3). ‘a' is your Group number.

Problem 2

A system function in S domain is presented by H(s) = 1/(s²+5s+6). If the input signal is x(t) = (2e^-t + e^-2t) u(t), What is the output of the system in time domain? Show the step by step solution.

Problem 3

Compute the Fourier transform for the signal presented in Figure 2. Include all workings and calculations.

Figure 2

Problem 4

Using the following definitions

Evaluate the digital convolution, graphically.

PART B.

Problem 1:

Given a periodic square wave, x(t) with amplitude A=5 and the period of T=10:

a) Describe the Dirichlet conditions and explain why x(t) can be expanded into a Fourier series.
b) Express trigonometric form of the Fourier series for x(t). (Include all calculations in your report)
c) Write a MATLAB code to plot the Fourier series of x(t). (add a brief explanation for each command in your MATLAB code)
d) Plot ideal x(t) and compare it with Fourier series approximation with 17 harmonics. Plot all functions on the same figure.
e) Repeat task d for N=51
f) Plot magnitude and phase spectrum for x(t).

Problem 2:
Explain, using appropriate examples, how to evaluate whether a system is a Linear system or not.
Use Matlab to prove your explanation and results. (Include your programme and your results)

Attachment:- Circuit Analysis and Signal Processing.rar