EE 224 Homework 1 Solutions
1. A = 20, 0 =
2 radians
2
,=
msec.
25 second
5
1
2. T0 = 8 means that f0 = .
8
1
(a) A cos(2f0 (t t1 ) = A cos 2 (t + 2)
8
= A cos
t+
. So this is true.
4
2
1
(b) A cos(2f0 (t t1 ) = A cos 2 (t 3)
8
= A cos
3
t+
. So this is f
EE224: Signals and Systems I
Homework #8: Assigned on 11/21/13, due on 12/05/13.
1. Find the Fourier transform of the following signals by actually nding the corresponding
integral.
a) x(t) = u(t) u(t 1)
b) x(t) = et u(t)
c) x(t) = e2|t|
2. A signal x(t)
Lab report 5 for EE224
Name: Xuetong Mao
2. Con2dis GUI
3.1Sinusoidal Varying Signal
function [y]=sinvar(fs,f_c,f_m,A,A_f, duration);
% Inputs:
% fs - sampling frequency (samples/sec)
% f_c - carrier or center frequency of the sinusoid (Hz)
% f_m - how fa
Lab report 6 for EE224
Name: Xuetong Mao
1
Prelab
Observe that the range of signal values is between 0 and 255. Which values represent white and
which ones black? Can you identify the region where the 200th row crosses the fence and its
shadow?
Working wi
Lab report4 for EE224
Name: Xuetong Mao
Prelab
scope
Heat cost new scope
Scope
Average Tem is 70
function z=periodcapture(x,T,Ts);
% x input signal
% T period of x
% Ts sampling time for x
% given the sampling time Ts, the number of samples in one
% perio
Lab report 2 for EE 224
Name: Xuetong Mao
Prelab
Introduction
In this lab I begin to use MatLab to record sound wave and find the data about the wave I got.
Also I verify the relationship between frequency and mass of the tuning forks in section 2.7
Pro
HW 1 for EE224 due Thursday, September 02, 2010
Name: Xuetong Mao (Amy)
1. Problem P-2.1 on p. 31 of the textbook.
2. Problem P-2.2 on p. 31 of the textbook.
4. Find the even and odd components of the following signals:
(a) x(t) depicted below
(b)
(c)
Not
Homework 2 for EE 224 due Sep 9th,2010
Name: Xuetong Mao
1, Simplify
2. Determine the spectrum of the signal
components are there in s(t)?
and leave the result in polar form.
How many frequency
3. Solve
Parts (a) and (e) of Problem P-2.7 on p. 32 of the t
1. (15 pts)
Mr) W)
Plots of an input signal 55(25) and an impulse response h(t) of a CT LTI system V
are given below.
The output of the LTI system is y(t) = (h *m = h(7') 56(t 7') d7:
(a) (1 pt) Sketch h(7') as a function of 7'.
W? 'M22
Fourier Series Properties. Fourier coefcients of 55(75) and y(t) are ak
and bk, respectively.
Signal 23(t) With Fourier coefcients ak fundamental period To
Signal y(t) with Fourier coefcients bk ' fundamental period To
Ly) = AW) I bk :
Lab report for EE 224
Name: RUI BAI
Lab #11
Date: 12/3/2010
Introduction:
in this lab we are going to play with MatLab and Simulink. We will download some
block diagram from WebCT and try to plot the frequency response. Also we will try to modify
the lowp
Lab report 11
Xuetong Mao
C=1
C = 0.5
C = 1.5
Effect of variations in modulating and carrier frequencies on DSB signal.
C=0 and f=1000:
C=1, frequency=200H, carrier frequency=3500H
z
Run FDATool
m(t) and y(t)
fstop=3.2
y(t) and m(t):
F = 200Hz
Turn it int
EE 224 HW #1 due Thursday, September 2, 2010
Name: Xuetong Mao
1. Problem P-2.1 on p. 31 of the textbook.
2. Problem P-2.2 on p. 31 of the textbook.
3. Problem P-2.3 on p. 31 of the textbook.
Lab report 3
Name: Xuetong Mao
1. Introduction and prelab
In this lab we use MatLab to generate general discrete sinusoid signal and chirp signal. Also we
learn to use MatLab to draw spectrograms so that I can get the frequency content in short
sections o
EE 224, Fall 2013 - Homework 4
TA : Animesh Biswas
1. The system equation is
y (n) = x(n)x(n 2)
(a) y (n) depends on x(n 2), so the system is not memoryless.
(b) y (n) = A2 (n) (n 2). Now when n = 0, (n) = 1 but (n 2) = 0, which gives
y (0) = 0. Similarly
EE224: Signals and Systems I
Homework #4: Assigned on 10/10/13, due on 10/17/13.
1. A system is known to be LTI. We know that the response of the system to the unit step
function u[n] is [n] + [n + 1].
Find the response of the system to 2u[n] + u[n 1].