The impulse response of a filter is given by the function:
![h[n] = a[n]-20[n-1] + 0[n-2]](http://img.homeworklib.com/questions/97d7c9f0-c729-11eb-ab33-0f30b820ecd4.png?x-oss-process=image/resize,w_560)
Use convolution to calculate the step-response/output of the filter.
- no x[n] was given in the task
Homework Answers
Here for step - response u(n) works as x(n)
please find the attached solution for reference.
Cheers!!!
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The impulse response of a filter is given by the function:
Use convolution to calculate the...
CONVOLUTION - Questions 4 and 5 4. Consider an LTI system with an impulse response h(n)...
CONVOLUTION - Questions 4 and 5 4. Consider an LTI system with an impulse response h(n) = [1 2 1] for 0 <n<2. If the input to the system is x(n) = u(n)-un-2) where u(n) is the unit-step, calculate the output of the system y(n) analytically. Check your answer using the "conv" function in MATLAB. 5. Consider an LTI system with an impulse response h(n) = u(n) where u(n) is the unit-step. (a) If the input to the system is...
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a) The transfer function of an ideal low-pass filter is and its impulse response is where...
a) The transfer function of an ideal low-pass filter is and its impulse response is where oc is the cut-off frequency i) Is hLP[n] a finite impulse response (FIR) filter or an infinite impulse response filter (IIR)? Explain your answer ii Is hLP[n] a causal or a non-causal filter? Explain your answer iii) If ae-0. IT, plot the magnitude responses for the following impulse responses b) i) Let the five impulse response samples of a causal FIR filter be given...
(a) A system has the impulse response, h[n], and is excited with the input signal, xIn], as shown below. Using either a mathematical or a graphical convolution technique, determine the outp...
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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...
Using Convolution Integration not laplace transformation please A first-order allpass filter impulse response is given by:...
Using Convolution Integration not laplace
transformation please
A first-order allpass filter impulse response is given by: h(t)-(t) 2eu(t) ind the zero-state response O er for the input e u Sketch the input and the corresponding zero-state response.
4. Convolution EX4. The input X(t) and impulse response h(t) for a system are given. Using...
4. Convolution EX4. The input X(t) and impulse response h(t) for a system are given. Using convolution evaluating the system output y(t). X(t)=1 O<t1 h(t)=sin pi*t 0<<2 =0 else where =0 elsewhere Xit) ↑ hlt) E mer
Let the Impulse response of a 3-point running-average filter, h[n] be -2 -1 O2345 6 And...
Let the Impulse response of a 3-point running-average filter, h[n] be -2 -1 O2345 6 And let the input be -2-1 023456 -3 Find the output using convolution ( tabular method) (20 points)
Question 5: (25marks) The Impulse response h(n) of a filter is non zero over the index range of n be [3,6]. The inp...
Question 5: (25marks) The Impulse response h(n) of a filter is non zero over the index range of n be [3,6]. The input signal x(n) to this filter is non zero over the index range of n be [10,20]. Consider the direct and LTI forms of convolution yin)-Σh(m) x (n-m)- Σχm)h (n -m) 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 LTI forms....
Problem 2 Consider an FIR filter with the following impulse response: h [n] [1 -2 3]...
Problem 2 Consider an FIR filter with the following impulse response: h [n] [1 -2 3] (a) What is the gain at 2 0.67 rads/sample? (b) What is the filter output if the input is x(n] - [1 2 3 2 1? Problem 2: Consider an FIR filter with the following impulse response: h(n] [1-2 3 (a) What is the gain at 2 0.67 rads/sample? (b) What is the filter output if the input is x [n] 1 2 3...
CONVOLUTION - Questions 4 and 5 4. Consider an LTI system with an impulse response h(n) = [1 2 1] for 0 <n<2. If the input to the system is x(n) = u(n)-un-2) where u(n) is the unit-step, calculate the output of the system y(n) analytically. Check your answer using the "conv" function in MATLAB. 5. Consider an LTI system with an impulse response h(n) = u(n) where u(n) is the unit-step. (a) If the input to the system is...
l(20 points) (1) Linear convolution: In a linca response h(n) impulse response h(n) f 2 -1). Use the direct linear convolution method to find the output y(n). r system, let input x(n) (n 2), 0s n s 1, and impulse
a) The transfer function of an ideal low-pass filter is and its impulse response is where oc is the cut-off frequency i) Is hLP[n] a finite impulse response (FIR) filter or an infinite impulse response filter (IIR)? Explain your answer ii Is hLP[n] a causal or a non-causal filter? Explain your answer iii) If ae-0. IT, plot the magnitude responses for the following impulse responses b) i) Let the five impulse response samples of a causal FIR filter be given...
(a) A system has the impulse response, h[n], and is excited with the input signal, xIn], as shown below. Using either a mathematical or a graphical convolution technique, determine the output of the system, y[n] (that is, evaluate y[n] h[nl'xIn], where" denotes convolution). 17 marks xIn INPUT FIR filter 0.5 0.25 OUTPUT 0 1 345 6 7 .. 0.5 0123 4567 (b) An IIR filter is shown below: ylnl One sample delay (z) 0.4 i) Derive the difference equation describing...
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...
Using Convolution Integration not laplace
transformation please
A first-order allpass filter impulse response is given by: h(t)-(t) 2eu(t) ind the zero-state response O er for the input e u Sketch the input and the corresponding zero-state response.
4. Convolution EX4. The input X(t) and impulse response h(t) for a system are given. Using convolution evaluating the system output y(t). X(t)=1 O<t1 h(t)=sin pi*t 0<<2 =0 else where =0 elsewhere Xit) ↑ hlt) E mer
Let the Impulse response of a 3-point running-average filter, h[n] be -2 -1 O2345 6 And let the input be -2-1 023456 -3 Find the output using convolution ( tabular method) (20 points)
Question 5: (25marks) The Impulse response h(n) of a filter is non zero over the index range of n be [3,6]. The input signal x(n) to this filter is non zero over the index range of n be [10,20]. Consider the direct and LTI forms of convolution yin)-Σh(m) x (n-m)- Σχm)h (n -m) 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 LTI forms....
Problem 2 Consider an FIR filter with the following impulse response: h [n] [1 -2 3] (a) What is the gain at 2 0.67 rads/sample? (b) What is the filter output if the input is x(n] - [1 2 3 2 1? Problem 2: Consider an FIR filter with the following impulse response: h(n] [1-2 3 (a) What is the gain at 2 0.67 rads/sample? (b) What is the filter output if the input is x [n] 1 2 3...
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