Chapter 2.4 - Frequency Translation
In Single-Sideband Modulation, we actually perform a frequency translation,
which is translating the carrier frequency of a modulated signal s1(t) at f1 to a
new value of f2.
We can do this using a mixer (shown in Figur
ELEC 3305/9305: DIGITAL SIGNAL PROCESSING
Tutorial #3
Question 1:
Do questions 3.7, 3.8, 3.10(b), 3.14, 3.16, 3.17, and 3.23 of the text.
Question 2:
Do questions 4.4, 4.9, 4.15, 4.16, 4.18, 4.19, and 4.25 of the text.
Question 3:
Using Matlab compute and
ELEC 3305/9305: DIGITAL SIGNAL PROCESSING
Solutions to Tutorial #1
Question 1:
(Question 1.5 of text): Each sample period is 1/11.025 kHz = 90.7 sec. The acquisition time
is 10 sec, which leaves 80.7 sec for quantization and digitization.
(Question 1.6 o
ELEC 3305/9305: DIGITAL SIGNAL PROCESSING
Tutorial #6
Question 1:
Do questions 7.6, 7.23(b), 7.24, 7.28, 7.29, and 7.30 of the text.
Question 2:
A filters difference equation is
y[ n ] =
1
(x[n ] + x[n 1] + x[n 2] + x[n 3])
4
i.e. the filter is a four-ter
ELEC 3305/9305: DIGITAL SIGNAL PROCESSING
Tutorial #5
Question 1:
Question 2:
Do questions 6.10, 6.11, 6.23, 6.25, 6.26, and 6.33 of the text.
(Remark: Matlab function zplane or pzmap can be used for plotting the pole-zero
plot of a filter.)
z
.
A digital
ELEC 3305/9305: DIGITAL SIGNAL PROCESSING
Tutorial #1
Question 1:
Do questions 1.5, 1.6, 1.9, 1.10, 1.11 and 1.15 of the text.
Question 2 :
(Question 1.12 of text) Each time a Touch-Tone telephone key is pressed, an audible
two-tone signal is produced. Th
ELEC 3305/9305: DIGITAL SIGNAL PROCESSING
Solutions to Tutorial #5
Question 1:
(Question 6.10 of text): The transfer functions for the two filters are H1 ( z )=
1 0.2 z 1
and
1 + 0.2 z 1
0.5
1 0.1z 1 + 0.4 z 2
(a) In cascade, the overall transfer function
ELEC 3305/9305: DIGITAL SIGNAL PROCESSING
Solutions to Tutorial #2
Question 1:
(Question 2.1 of text): The minimum sampling rate is twice the maximum frequency in the
signal, or 44.1 kHz.
(Question 2.2 of text): (a) Since = 2f = 20 rad/sec, the frequency
ELEC 3305/9305: DIGITAL SIGNAL PROCESSING
Solutions to Tutorial #6
Question 1:
(Question 7.6 of text): The samples for the impulse response are given in the table (all other values are zero):
n
h[n]
0
1.0
1
0.0
2
1.0
3
0.0
4
1.0
The frequency response is
ELEC 3305/9305: DIGITAL SIGNAL PROCESSING
Tutorial #2
Question 1:
Do questions 2.1, 2.2, 2.3, 2.4, 2.7, 2.8, 2.9 and 2.13 of the text.
Question 2:
Consider the periodic signals shown in Figure 1. For a sine wave, the Nyquist
sampling rate requires that tw
ELEC 3305/9305: DIGITAL SIGNAL PROCESSING
Tutorial #4
Question 1:
Do questions 5.5, 5.6, 5.8, 5.12, and 5.18 of the text.
(Remark: Matlab function conv can be used for convolution of two finite length
sequences.)
Question 2:
Do questions 6.1, 6.2(e), 6.6(
Chapter 3.14 - Differential Pulse-Code Modulation
For voice/video signal that is sampled at a higher rate than Nyquist rate,
the sampled signals will have a high degree of correlation between
adjacent samples (i.e. the signal does not change rapidly from
Chapter 2.8 - Non Linear Effects in FM Systems
Nonlinearities are present in all electrical networks. There are two basic
forms of nonlinearity:
1. Strong nonlinearity. The nonlinearity is introduced intentionally and in a
controlled manner for some appli
Chapter 3.3 - Pulse-Amplitude Modulation
In pulse-amplitude modulation (PAM), the amplitudes of regularly space
pulses are varied in proportion to the sample values of message signal. The
waveform of a PAM signal is shown in Figure 3.5.
There are two oper
Chapter 3.1 - Introduction
In continuous-wave (CW) modulation, we vary some parameter of a sinusoidal
carrier wave continuously in accordance with the message signal.
In pulse modulation, some parameter of a pulse train is varied in accordance
with the me
Chapter 3.6 - Quantization Process
Amplitude quantization is the process of transforming the sample amplitude
m(nTs) of a message signal m(t) at time t = nTs into a discrete amplitude v(nTs)
taken from a finite set of possible amplitudes. We assume the qu
Chapter 2.3 - Linear Modulation
In Equation 2.7 (general form of linear modulation), sI(t) is the in-phase
component of the modulated wave s(t) and sQ(t) is the quadrature
component. In-phase component means the component is in phase with the
original car
Chapter 2.7 - Frequency Modulation
Frequency modulation is a nonlinear modulation process. The spectrum of an
FM signal is not related in a simple manner to that of the modulating signal.
Therefore FM is more difficult to analyze than AM (which was linear
Chapter 3.10 - Digital Multiplexers
Figure 3.20 shows the block diagram of digital multiplexing-demultiplexing.
Multiplexing of digital signals is done by using a bit-by-bit interlacing
procedure with a selector switch that takes a bit from each incoming
Chapter 3.8 - Noise Considerations in PCM Systems
Two main source of noise in PCM systems:
1. Channel noise: signal independent, always present
2. Quantization noise: signal dependent
Main effect of channel noise is bit errors in the received signal.
Chan
Chapter 2.11 - Noise in Linear Receivers Using Coherent Detection
For Amplitude Modulation with suppressed carrier, we
use coherent detection, where the receiver is linear.
Figure 2.36 shows the case of DSB-SC modulation receiver using a coherent
detector
Chapter 2.1 - Introduction
In here we learn about some communication terms, such as:
Baseband signal/message signal: information-bearing signal. The
term baseband is used to designate the band of frequencies
representing the original signal as delivered b
ELEC 3305/9305: DIGITAL SIGNAL PROCESSING
Solutions to Tutorial #3
Question 1:
(Question 3.7 of text): (a) This signal is a sum of shifted step functions (with the first one
starting at n = 1), each with amplitude 0.1, i.e. x[n] = 0.1u[n1] + 0.1u[n2] + 0