Homework Answers
Add Answer to:
45(f) s(t0) Determine the impulse response of the filter matched to the pulse shape shown in...
Consider a matched filter receiver for a binary communication system where a binary '1' is represented by a pulse s() as shown below and a binary 0' is represented by st Consider the...
Consider a matched filter receiver for a binary communication system where a binary '1' is represented by a pulse s() as shown below and a binary 0' is represented by st Consider the case when there is no noise, i.e, n(t)0 1. Determine and sketch the output s,() of the matched filter due to the input s(1) and - s(t), respectively 2. What is the sample value of so( atT where T is the pulse duration? 3. Why is it...
+00 k-00 The signal z(t) received by a binary communication system can be expressed as z(t)...
+00 k-00 The signal z(t) received by a binary communication system can be expressed as z(t) = axpe(t – kT)+w(t) where ax = £1, an equally likely and independent binary sequence, and w(t) is white Gaussian noise with spectral density S(f)= N, /2. The pulse shape pe(t) is as shown below. a) Write down and sketch the noncausal matched filter impulse response. b) Without making any calculation, make a sketch of the expected filter output wave shape when the input...
s (t) is a rectangular pulse given by, s(t) 0, elsewhere. A matched filter which is...
s (t) is a rectangular pulse given by, s(t) 0, elsewhere. A matched filter which is matched to s(t) has unit pulse response h( The input to the matched filter is x(t), which is given by x (t) s(t) +n(t), where n(t) is zero mean white Gaussian noise with power spocial density of Tho maichod filier ouipu is y (i) What is h(t), as a function of A and T? What is H(f), the Fourier Tranform of h (t)? What...
2. A signal r, t) is passed through a linear filter whose impulse response is he)....
2. A signal r, t) is passed through a linear filter whose impulse response is he). The output signal ro (t) of the linear filter is sampled at the symbol period of T. he signal r,(t) is given as (t)t)+n and the n(t) is the AwGN with noise variance of σ-N0/2. Note that s(t) is a complex signal. You have to show your work in detail for the full credit. n(t) where s(t) has the energy of E (a) Derive...
Points) Consider the signal s(t) with Fourier Transform 10 1+ω. S(a) figure below, we impulse sam...
points) Consider the signal s(t) with Fourier Transform 10 1+ω. S(a) figure below, we impulse sample s) at a frequency o, rads/second, e signal sa(t). Can you find a finite sampling frequency o such that ly recover s(t) from so()? If so, find it. If not, explain why not. a) (5 pts) In ting in the can perfectly you s (t) sa(t) →| Impulse sample at- rate o b) (5 pts) Now suppose we filter the signal s() with an...
Only do question 2a. Please do it manually. Signal processing theory: Input System impulse response in...
Only do question 2a. Please do it manually.
Signal processing theory: Input System impulse response in O 15 t 2 s t Question 1. Consider the figure above. An input signal has a square shape with a width of 1 s and amplitude of 1. The instrument impulse response has a square shape with a width of 2 s and amplitude of 1. Follow the example given in the lecture slides to manually calculate and plot the instrument's output in...
Question 2: (25 Marks) The Impulse response h(n) of a filter is non zero over the...
Question 2: (25 Marks) The Impulse response h(n) of a filter is non zero over the index range of n be [5,8]. The input signal x(n) to this filter is non zero over the index range of n be [7,12]. Consider the direct and LTI forms of convolution y(n)-Σh(m) x(-m)- Σχm)h (n -m) m a. Determine the overall index range n for the output y(n). For each n, determine the corresponding summation range over m, for both the direct and...
For d) write the form of the impulse response for detection of this signal: knowing h(t)=s^*(-t)....
For d) write the form of the impulse response for detection of
this signal:
knowing h(t)=s^*(-t). Please show how to do 2 and e) aswell! #2 is
the most important though
e) The signal in d) is a chirp. How would you characterize the impulse response that you obtained in d). (i.e. is it an upchirp or a downchirp)? 2 Write a Matlab or Python script to find the output of the matched filter for the signal of problem 1.d)
3.(30 points) Pulse Code Modulation A-to-D Ideal Lowf Pass Filter xit)- #x) cos(2rfet) (10 points...
3.(30 points) Pulse Code Modulation A-to-D Ideal Lowf Pass Filter xit)- #x) cos(2rfet) (10 points) Consider the system in the above figure. The ideal low pass filter is one which has a brick-wall frequency response (or an ideal sinc function for its impulse response). If the bandwidth of the ideal low pass filter is IkHz and B 2kHz is the bandwidth of a bandpass signal x(t) that is centered at fo 19700Hz, determine the minimum sampling rate fs to avoid...
2.7.5 The impulse response of a continuous-time LTI system is given by h(t) = f(t) -...
2.7.5 The impulse response of a continuous-time LTI system is given by h(t) = f(t) - et u(t). (a) What is the frequency response H (w) of this system? (b) Find and sketch H(w). (c) Is this a lowpass, bandpass, or highpass filter, or none of those? 2.7.6 The impulse response of a continuous-time LTI system is given by h(t) = S(t – 2). (This is a delay of 2.) (a) What is the frequency response H (w) of this...
Consider a matched filter receiver for a binary communication system where a binary '1' is represented by a pulse s() as shown below and a binary 0' is represented by st Consider the case when there is no noise, i.e, n(t)0 1. Determine and sketch the output s,() of the matched filter due to the input s(1) and - s(t), respectively 2. What is the sample value of so( atT where T is the pulse duration? 3. Why is it...
+00 k-00 The signal z(t) received by a binary communication system can be expressed as z(t) = axpe(t – kT)+w(t) where ax = £1, an equally likely and independent binary sequence, and w(t) is white Gaussian noise with spectral density S(f)= N, /2. The pulse shape pe(t) is as shown below. a) Write down and sketch the noncausal matched filter impulse response. b) Without making any calculation, make a sketch of the expected filter output wave shape when the input...
s (t) is a rectangular pulse given by, s(t) 0, elsewhere. A matched filter which is matched to s(t) has unit pulse response h( The input to the matched filter is x(t), which is given by x (t) s(t) +n(t), where n(t) is zero mean white Gaussian noise with power spocial density of Tho maichod filier ouipu is y (i) What is h(t), as a function of A and T? What is H(f), the Fourier Tranform of h (t)? What...
2. A signal r, t) is passed through a linear filter whose impulse response is he). The output signal ro (t) of the linear filter is sampled at the symbol period of T. he signal r,(t) is given as (t)t)+n and the n(t) is the AwGN with noise variance of σ-N0/2. Note that s(t) is a complex signal. You have to show your work in detail for the full credit. n(t) where s(t) has the energy of E (a) Derive...
points) Consider the signal s(t) with Fourier Transform 10 1+ω. S(a) figure below, we impulse sample s) at a frequency o, rads/second, e signal sa(t). Can you find a finite sampling frequency o such that ly recover s(t) from so()? If so, find it. If not, explain why not. a) (5 pts) In ting in the can perfectly you s (t) sa(t) →| Impulse sample at- rate o b) (5 pts) Now suppose we filter the signal s() with an...
Only do question 2a. Please do it manually.
Signal processing theory: Input System impulse response in O 15 t 2 s t Question 1. Consider the figure above. An input signal has a square shape with a width of 1 s and amplitude of 1. The instrument impulse response has a square shape with a width of 2 s and amplitude of 1. Follow the example given in the lecture slides to manually calculate and plot the instrument's output in...
Question 2: (25 Marks) The Impulse response h(n) of a filter is non zero over the index range of n be [5,8]. The input signal x(n) to this filter is non zero over the index range of n be [7,12]. Consider the direct and LTI forms of convolution y(n)-Σh(m) x(-m)- Σχm)h (n -m) m a. Determine the overall index range n for the output y(n). For each n, determine the corresponding summation range over m, for both the direct and...
For d) write the form of the impulse response for detection of
this signal:
knowing h(t)=s^*(-t). Please show how to do 2 and e) aswell! #2 is
the most important though
e) The signal in d) is a chirp. How would you characterize the impulse response that you obtained in d). (i.e. is it an upchirp or a downchirp)? 2 Write a Matlab or Python script to find the output of the matched filter for the signal of problem 1.d)
3.(30 points) Pulse Code Modulation A-to-D Ideal Lowf Pass Filter xit)- #x) cos(2rfet) (10 points) Consider the system in the above figure. The ideal low pass filter is one which has a brick-wall frequency response (or an ideal sinc function for its impulse response). If the bandwidth of the ideal low pass filter is IkHz and B 2kHz is the bandwidth of a bandpass signal x(t) that is centered at fo 19700Hz, determine the minimum sampling rate fs to avoid...
2.7.5 The impulse response of a continuous-time LTI system is given by h(t) = f(t) - et u(t). (a) What is the frequency response H (w) of this system? (b) Find and sketch H(w). (c) Is this a lowpass, bandpass, or highpass filter, or none of those? 2.7.6 The impulse response of a continuous-time LTI system is given by h(t) = S(t – 2). (This is a delay of 2.) (a) What is the frequency response H (w) of this...
Most questions answered within 3 hours.
-
An MNE is this kind of industry when competition in one country
is essentially independent of...
asked 53 minutes ago -
. For this set of questions, determine what
proportion of a normal distribution is located betweeneach...
asked 1 hour ago -
A college student is employed as a door-to-door newspaper
salesman. Historical data suggests that the student...
asked 2 hours ago -
MATLAB HW 11 problem using Switch Case and Input commands
Write a script file that calculates...
asked 2 hours ago -
Considering gravitational time dilation, calculate the time that
passes in Earth’s surface while 1 hour passes...
asked 2 hours ago -
Minitab Problem: Take the Lake Hume June rainfall data and find
use the processes outlined in...
asked 3 hours ago -
X Company is trying to decide whether to continue using old
equipment to make Product A...
asked 3 hours ago -
IN PYTHON ONLY !! Program 2: Re-work
program #5 (WeeklyHours) from the previous assignment such that...
asked 4 hours ago -
The average length of time between arrivals at a turnpike
toll-booth is 26 seconds. What is...
asked 5 hours ago -
(a) A piston at 6.1 atm contains a gas that occupies a volume of
3.5 L....
asked 7 hours ago -
Please answer true or false. Words
cannot be changed or added in to make it true...
asked 7 hours ago -
An empty test tube weighs 15.923 grams. Then,
MgCl2•6H2O is added into the test tube. After...
asked 7 hours ago