Determine the Nyquist rate for signal x(t)defined as
follows:
x(t)= 20,000sinc(20,000*pi*t)
Plot the spectrum of the sampled signal and check whether
aliasing error exists for the following values of the sampling rate
(ws): 40,000*pi, 20,000*pi,10,000*pi
E ::= E + T | T
T ::= T * F | F
F ::= num | (E) Num ::= 0 | 1 | 2 | 3 | 4 | 5 | . . . . . .
.
Question: 1
a. Show the Left-most derivation for the expression: 5 * 7 + 6 * (1
+ 2).
b. Show the Right-most derivation for the expression: 5 * 7 + 6
* (1 + 2).
energy and
power of signals.
(a) Plot
the signal x(t)
=
e−tu(t)
and determine its energy. What is the power of x(t)?
(b) How
does the energy of z(t)
=
e−∣t∣,
−∞
<
t
<
∞, compare to the energy
of z1(t)
=
e−tu(t)?
Carefully plot the two signals.
(c) Consider the
signaly(t)
=
sign[xi(t)]
=
1
xi(t)
≥
0
−1
xi(t)
< 0
for
−∞
<
t
<
∞,i
=
1,2. Find the
energy and the power of...
Give the grammar following:
E --> E + T | T
T --> T* F | F
F --> (E) | id
Eliminating the left recursion rules and getting a non-left
recursive equivalent grammar.
T or F – Accounting uses a double entry system?
2. T or F – Assets = Liabilities + Owners Equity?
3. T or F – Assets – Liabilities = Owners Equity?
4. T or F – Assets are normally on the debit side of the T
account?
5. Advantages of ERP systems include:
A) saves money
B) helps adjust to changes
C) replaces separate software systems
D) all of the above
) T or F – Accounts receivable are...
Plot the signal s(t) = cos(2πt), and then illustrate the
resulting samples with the following sampling intervals: [30
points] •
Ts= 0.5 sec. •
Ts= 0.75 sec •
Ts =1 sec.
(a) For each case, also sketch the reconstructed continuous time
signal from the samples using linear interpolation (i.e. connecting
samples by straight lines).
(b) In which case the sampled signal has aliasing distortion?
What is the minimal sampling frequency and the corresponding
sampling interval needed to avoid aliasing?
7
If a carrier signal vc(t) = 10 sin (20000πt+π/2) volts is
amplitude modulated by message vm(t) = 8sin(450πt+π/2), sketch the
frequency plot for the resulting AM signal and calculate the
transmission bandwidth. Write the expression for the AM signal. If
the resulting AM signal is viewed on a CRO, what will be the values
of Vmax and Vmin? Also sketch the AM signal in CRO and state
whether the signal is under modulated / critically modulated / over
modulated;...
What's the Fourier transform of the following equations:
1) f(t)=1/(t^2+a^2) a is a constant
2) e^[-absolute value(t)/a]*cos(b*t) a and b are constants
Let f(t) =t^2−1 and g(t) =e^t.
(a) Graph f(g(t)) and g(f(t)).
(b) Which is larger,f(g(5)) or g(f(5))? Justify your answer.
(c) Which is larger, (f(g(5)))′or g(f(5))′? Justify your
answer.