ELEC3302(DC) Tutorial 6
Roberto Togneri, 2006
SOLUTIONS
1. For the following binary codes, determine: (a) Whether the code is uniquely decodable. If not, exhibit two source messages with the same code. (b) Whether the code is instantaneous. If not, can yo
ELEC3302(DC) Tutorial 5
Roberto Togneri, 2006
SOLUTIONS
1. You will be sitting in on two different lectures today. One is on "Ohm's law" and the other is on "Higher Order Spectra". (a) For which lecture will you gain the same understanding even if you sit
ELEC3302(DC) Tutorial 4
Solutions
Roberto Togneri, 2006
1. Given the input binary sequence 1100100010, sketch the waveforms of the in-phase, si11 (t ) , and quadrature, si 2 2 (t ) , components of a modulated wave obtained by QPSK based on the QPSK signal
ELEC3302(DC) Tutorial 3
Solutions
Roberto Togneri, 2006
1. A binary PAM wave is to be transmitted over a baseband channel with an absolute maximum bandwidth of 75 kHz. The bit duration is 10 s . Find a raised-cosine spectrum that satisfies these requireme
ELEC3302(DC) Tutorial 2
Solutions
Roberto Togneri, 2006
1. Consider the signal s (t ) :
(a) (b) (c)
Determine the impulse response of a filter matched to this signal and sketch it as a function of time. Plot the matched filter output, where s (t ) is the
ELEC3302(DC) Tutorial 1
Solutions
Roberto Togneri, 2006
1. (a) Prove that each signal function can be represented as a linear combination of N N s (t ) 0 t T orthonormal basis functions, si (t ) = ij j , i = 1,2, K M where j =1 0 otherwise
sij = si (t )
ENGT3302 Tutorial #6
Question 1
Specify the Nyquist rate and the Nyquist interval for each of the following signals: a) g ( t ) = sinc ( 200t )
b) g ( t ) = sinc 2 ( 200t ) c) g ( t ) = sinc ( 200t ) + sinc 2 ( 200t )
Solution
Note that
sin c (2Wt )
1
ENGT3302 Tutorial #5
Question 1
White Gaussian noise of zero mean and power spectral density N0/2 is applied to the filtering scheme shown in Figure 1. The frequency responses of these two filters are shown in Figure 2. The noise at the low-pass filter is
ENGT3302 Tutorial #4
Question 1
The FM signal
t 0
s ( t ) = Ac cos 2 f c t + 2 k f m ( ) d
t
is applied to the system shown in Figure 1 consisting of a high-pass RC filter and an envelope detector. Assume that (a) the resistance R is small compared with
ENGT3302 Tutorial #3
Question 1
The local oscillator used for the demodulation of an SSB signal s ( t ) has a generate s ( t ) . Otherwise, there is a perfect synchronism between this oscillator in the receiver and the oscillator supplying the carrier wav
ENGT 3302 Tutorial #2
Question 1
Figure 1
Given that the spectrum of g ( t ) is limited to the interval f c W f f c + W , demonstrate the validity of this method. Hence, show that
The block diagram of Figure 1 illustrates a method for extracting the in-ph
ENGT3302 Tutorial #1
Question 1
a) Find the Fourier transform of the ha1f-cosine pulse shown in Figure 1a. b) Apply the time-shifting property to the result obtained in part (a) to evaluate the spectrum of the half-sine pulse shown in Figure 1b. c) What i