7. EXPERIMENT 3: MATCHED FILTER AND BIT ERROR RATE (BER)
1. Objectives:
In this experiment you will investigate the signal detection process by studying elements of a
receiver and of the decoding process. In particular you will:
investigate the character

7. Experiment 3: Matched Filter and Bit Error Rate (BER)
54
determined as:
2
No
n
=
,
2
2 system bandwidth
where the system bandwidth in this experiment is 4.9 kHz.
Sn (f ) =
D. Low-Pass Filter Receiver
D.1 Apply a rectangular pulse to a rst-order RC-lter

4. ASSIGNMENT 4
4.1 Assignment 4 Problems
1. Sklar, 4.7
Find the probability of bit error, PB , for the coherent matched lter detection of the
equally likely binary FSK signals
s1 (t) = 0.5 cos 2000t
and
s2 (t) = 0.5 cos 2020t
where the two-sided AWGN pow

6. Experiment 2: Binary Signalling Formats
44
B. Channel Characteristics
In this part you will simulate characteristics of a communications channel.
NOISE
INPUT
CHANNEL
OUTPUT
Fig 2.1 Channel model
The MATLAB function that represents the channel response

5. EXPERIMENT 1: SAMPLING THEORY
1. Objectives:
In this experiment you will investigate Sampling Theorem.
2. Prelab Assignment:
Given signal x(t) = sinc(t):
1. Find out the Fourier transform of x(t), X(f ), sketch them.
2. Find out the Nyquist sampling f

3. Assignment 3
24
3.2 Assignment 3 Solutions
Problem 1. a: Let A=cfw_qualied resistor, then we can have
P [A|B1 ] = 0.8
P [A|B2 ] = 0.9
P [A|B3 ] = 0.6
(3.1)
The production gures states that 3000+4000+3000=10,000 resistors per hour are produced.
The frac

2. Assignment 2
19
3. ASSIGNMENT 3
3.1 Assignment 3 Problems
1. A company has three machines B1 , B2 , and B3 for making resistors. It has been observed
that 80% of resistors produced by B1 are qualied. The percentage for machines B2 and
B3 are respective

2. Assignment 2
14
9. Sklar, 3.10
Binary data at 9600 bits/s are transmitted using 8-ary PAM modulation with a system
using a raised cosine roll-o lter characteristic. The system has a frequency response
out to 2.4 kHz.
(a) What is the symbol rate?
(b) Wh

1. Assignment 1
9
which implies L 182.8. Because L is a power of 2, we select L = 256 = 28 . The SNR
for this value L is
E[m2 (t)]
3L2
=
= 3(256)2 (0.5) = 98304 = 49.43dB
2
2
9. Sklar 1.14:
X2 (f ) = k[(f f0 ) + (f + f0 )
X1 (f ) X2 (f ) = X1 (f ) k[(f f0

1. Assignment 1
4
(a) What is the minimum number of uniform quantization levels needed, and what is
the minimum number of bits per sample needed?
(b) Calculate the system bandwidth (as specied by the main spectral lobe of the signal)
required for the dete