The signal output from a certain process in an industry is described by the following equation...
The signal output from a certain process in an industry is described by the following equation
h (t) = 5 cos 2π1000 t + 7 cos 2π 2000 t + 2 cos 2π 3000 t.
Determine the Nyquist sampling rate for the above signal h(t).
Homework Answers
Add Answer to:
The signal output from a certain process in an industry
is described by the following equation...
onsider the sampling and reconstruction system shown in the figure. x(t) IdealIdeal) D-to-C Converter Converter Assume...
onsider the sampling and reconstruction system shown in the figure. x(t) IdealIdeal) D-to-C Converter Converter Assume that the sampling rates of the C-to-D and D-to-C converters are equal, and the input to the Ideal C-to-D converter is x(t) = 2 cos (2m(50)t +π) + cos(2π(150e) a. (5) If the output of the Ideal D-to-C converter is equal to the input x(t) i.e. ()2 cos (2m(50)t +7)+cos(2(150)) b. (5) If the sampling rate is fs = 250 samples/sec, determine the discrete-time...
Please Justify why or why the nyquist rate does change for each and not just give the rate itself. Consider a continuous time signal s(t) sampled at Js and is bandlimited to a frequency less than ..-...
Please Justify why or why the nyquist rate does
change for each and not just give the rate
itself.
Consider a continuous time signal s(t) sampled at Js and is bandlimited to a frequency less than ..-N2 . It has a Nyquist rate of ω,-2π.-4n/, . Determine and briefly justify the required Nyquist rate (o) of the following variations of this signal. (a) at)-s(t)+s(t-3004) (b) b(t) duo (c) c)s) (d) d(t)-s (t) (cos(ot)) ds(t) dt
Consider a continuous time signal...
3. (a) Consider the signal xc(t)-sin(2π(40)t). How fast must xe(t) be sanpled to avoid aliasing? ...
3. (a) Consider the signal xc(t)-sin(2π(40)t). How fast must xe(t) be sanpled to avoid aliasing? Determine the Nyquist rate (the frequency which the sampling rate fs must exceed) for ae(t) (b) Consider processing the signal xe(t) (from part (a)) using the system shown below: Conversion to a sequence Conversion to an impulse train Ideal Reconstruction Filter Hr(ju) p (t) ур y(t) The sampling period for this system is T-1/50 seconds. The DT system H(ei2) is an ideal lowpass filter with...
2. Consider the signal f(t) = 20 cos(5t) + cos(9t) sin(5t) - 7 (a) What is the highest angular frequency present in thi...
2. Consider the signal f(t) = 20 cos(5t) + cos(9t) sin(5t) - 7 (a) What is the highest angular frequency present in this signal? What is the highest numerical frequency present in this signal? (b) What is the Nyquist frequency? rate for this signal? Did you use the angular or the numerical (c) If you sample this signal with sampling period T, which values of T may you choose to be in accordance with the Nyquist rate? Choose and fix...
Q1) Given an analog signal X(t) = 3 cos (2π . 2000t) + 2 cos (2π...
Q1) Given an analog signal X(t) = 3 cos (2π . 2000t) + 2 cos (2π . 5500t) sampled at a rate of 10,000 Hz, a. Sketch the spectrum of the sampled signal up to 20 kHz; b. Sketch the recovered analog signal spectrum if an ideal lowpass filter with a cutoff frequency of 4 kHz is used to filter the sampled signal in order to recover the original signal ; c. Determine the frequency/frequencies of aliasing noise . Q2)...
Q2 Consider a communication signal x(t) described by the following mathematical expression: x(t)=2 cos(2000) + 4...
Q2 Consider a communication signal x(t) described by the following mathematical expression: x(t)=2 cos(2000) + 4 sin? (2000) – 2+4rec(t)cos(6000mt) Analyse the communication signal x(t) then consider the following: (i) Determine the Fourier transform of the signal x(t). (ii) Plot the double-sided amplitude spectrum of the signal x(t).
The signal m)811 + cos(20rt) cos(1o0t)] (t is in seconds) is sa using an ideal sampling...
The signal m)811 + cos(20rt) cos(1o0t)] (t is in seconds) is sa using an ideal sampling function at the rate of 150 samples/sec. Ea is encoded using a 16-level quantizer. ch sample a. Calculate the bandwidth of the signal m(). (2 Points) b. Is sampling done at, below or above Nyquist rate? Show your work (2 Points) (2 Points) c. Determine the rate of transmission (in bps). (3 Points) d. Find the signal-to-quantization noise ratio (SNR).
solve all 22. The input-output relationship for a linear, time-invariant system is described by differential equation...
solve all
22. The input-output relationship for a linear, time-invariant system is described by differential equation y") +5y'()+6y(1)=2x'()+x(1) This system is excited from rest by a unit-strength impulse, i.e., X(t) = 8(t). Find the corresponding response y(t) using Fourier transform methods. 23. A signal x(1) = 2 + cos (215001)+cos (210001)+cos (2.15001). a) Sketch the Fourier transform X b) Signal x() is input to a filter with impulse response (1) given below. In each case, sketch the associated frequency response...
4. Find the Nyquist rate for the following signals. For each case sketch the magnitude spectrum...
4. Find the Nyquist rate for the following signals. For each case sketch the magnitude spectrum of the sampled signal if the sampling rate is 25% higher than the Nyquist rate. a.) ft)sinc E 2T 10 b.) h)=sinc 2T For all the following, use ft) given in part a.) c.) glt)= f(l-7) d.) c(t)- f)cos() 1 e.) x(t)= fit)+ _ sinc (t
4. Find the Nyquist rate for the following signals. For each case sketch the magnitude spectrum of the...
Problems: 1. Consider the system shown below. Let the input signal to the Ideal Sampler to be: s(...
just looking for #2, 3, and 4
Problems: 1. Consider the system shown below. Let the input signal to the Ideal Sampler to be: s(t) = 2 cos(2m50t) + 4cos(2m100t) a. (10 points) Determine S(f) and plot it b. (20 points) Let the sampling rate to be: fs 300 samples/sec. Plot the spectrum of the Ideal sample, that is plot S8(f) c. Let the sampling rate to be: fs 175 samples/sec. i. (30 points) Plot S8(f) ii. (10 points) Let...
onsider the sampling and reconstruction system shown in the figure. x(t) IdealIdeal) D-to-C Converter Converter Assume that the sampling rates of the C-to-D and D-to-C converters are equal, and the input to the Ideal C-to-D converter is x(t) = 2 cos (2m(50)t +π) + cos(2π(150e) a. (5) If the output of the Ideal D-to-C converter is equal to the input x(t) i.e. ()2 cos (2m(50)t +7)+cos(2(150)) b. (5) If the sampling rate is fs = 250 samples/sec, determine the discrete-time...
Please Justify why or why the nyquist rate does
change for each and not just give the rate
itself.
Consider a continuous time signal s(t) sampled at Js and is bandlimited to a frequency less than ..-N2 . It has a Nyquist rate of ω,-2π.-4n/, . Determine and briefly justify the required Nyquist rate (o) of the following variations of this signal. (a) at)-s(t)+s(t-3004) (b) b(t) duo (c) c)s) (d) d(t)-s (t) (cos(ot)) ds(t) dt
Consider a continuous time signal...
3. (a) Consider the signal xc(t)-sin(2π(40)t). How fast must xe(t) be sanpled to avoid aliasing? Determine the Nyquist rate (the frequency which the sampling rate fs must exceed) for ae(t) (b) Consider processing the signal xe(t) (from part (a)) using the system shown below: Conversion to a sequence Conversion to an impulse train Ideal Reconstruction Filter Hr(ju) p (t) ур y(t) The sampling period for this system is T-1/50 seconds. The DT system H(ei2) is an ideal lowpass filter with...
2. Consider the signal f(t) = 20 cos(5t) + cos(9t) sin(5t) - 7 (a) What is the highest angular frequency present in this signal? What is the highest numerical frequency present in this signal? (b) What is the Nyquist frequency? rate for this signal? Did you use the angular or the numerical (c) If you sample this signal with sampling period T, which values of T may you choose to be in accordance with the Nyquist rate? Choose and fix...
Q2 Consider a communication signal x(t) described by the following mathematical expression: x(t)=2 cos(2000) + 4 sin? (2000) – 2+4rec(t)cos(6000mt) Analyse the communication signal x(t) then consider the following: (i) Determine the Fourier transform of the signal x(t). (ii) Plot the double-sided amplitude spectrum of the signal x(t).
The signal m)811 + cos(20rt) cos(1o0t)] (t is in seconds) is sa using an ideal sampling function at the rate of 150 samples/sec. Ea is encoded using a 16-level quantizer. ch sample a. Calculate the bandwidth of the signal m(). (2 Points) b. Is sampling done at, below or above Nyquist rate? Show your work (2 Points) (2 Points) c. Determine the rate of transmission (in bps). (3 Points) d. Find the signal-to-quantization noise ratio (SNR).
solve all
22. The input-output relationship for a linear, time-invariant system is described by differential equation y") +5y'()+6y(1)=2x'()+x(1) This system is excited from rest by a unit-strength impulse, i.e., X(t) = 8(t). Find the corresponding response y(t) using Fourier transform methods. 23. A signal x(1) = 2 + cos (215001)+cos (210001)+cos (2.15001). a) Sketch the Fourier transform X b) Signal x() is input to a filter with impulse response (1) given below. In each case, sketch the associated frequency response...
4. Find the Nyquist rate for the following signals. For each case sketch the magnitude spectrum of the sampled signal if the sampling rate is 25% higher than the Nyquist rate. a.) ft)sinc E 2T 10 b.) h)=sinc 2T For all the following, use ft) given in part a.) c.) glt)= f(l-7) d.) c(t)- f)cos() 1 e.) x(t)= fit)+ _ sinc (t
4. Find the Nyquist rate for the following signals. For each case sketch the magnitude spectrum of the...
just looking for #2, 3, and 4
Problems: 1. Consider the system shown below. Let the input signal to the Ideal Sampler to be: s(t) = 2 cos(2m50t) + 4cos(2m100t) a. (10 points) Determine S(f) and plot it b. (20 points) Let the sampling rate to be: fs 300 samples/sec. Plot the spectrum of the Ideal sample, that is plot S8(f) c. Let the sampling rate to be: fs 175 samples/sec. i. (30 points) Plot S8(f) ii. (10 points) Let...
Most questions answered within 3 hours.
-
Where is the error in this code sequence?
String s1 = "Hello";
String s2 = "ello";...
asked 10 months ago -
Financial data for Joel de Paris, Inc., for last year
follow:
Joel de Paris, Inc.
Balance...
asked 10 months ago -
Consider this reaction:
Al2(SO4)3 (aq)+ BaCl3
(aq) Al2Cl6 (aq)- +
3BaSO4(s) . What is the...
asked 10 months ago -
Suppose that Savneet is considering increasing her
recent random sample from 20 car rentals to 40...
asked 10 months ago -
Trucks arrive at an unloading terminal at an average rate of 120
per hour.
Trucks arrive...
asked 10 months ago -
Why are methanol and ethanol completely soluble in water while
octanol is not very little soluble....
asked 10 months ago -
A facilities manager at a university reads in a research report
that the mean amount of...
asked 10 months ago -
When the CuSO4 is rehydrated by adding water to the anhydrous
compound, is this an endothermic...
asked 10 months ago -
A ray of sunlight is passing from diamond into crown glass; the
angle of incidence is...
asked 10 months ago -
A block of mass 0.249 kg is placed on top of a light, vertical
spring of...
asked 10 months ago -
how do the kidneys compensate in the presences of acidosis
a) trigger hyperventilate
b) reserve acid...
asked 10 months ago -
Question 501 pts
The rental rate of capital to the firm increases. Which of the
following...
asked 10 months ago