signals and systems show details and clear handwriting
signals and systems show details and clear handwriting 4. A first-order filter impulse response is given...
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. (2 marks) Determine (i) the Laplace transfer function, (ii) the impulse response function, and (ii) the input-output relationship (in the form of a linear constant-coefficient differential equation) for the causal LTI systems with the input-output pairs: a) x(t)-41(t) and y(t)-tu(t) + e-2tu(t). b) x() e2tu(t) andy(t)2u(t-4).
Signals & Systems Course Question 2. The response of a system is for t 20 and zero otherwise. (a) Find the system's impulse response h(t). (b) When (t)-u(t), the corresponding output of the system is called unit-step response s(t). Find s(t) and calculate ds(t)/dt, what does this correspond to the result from (a).
Show details filter amplitude response filter phase response -80 -40 100 101 102 103 104 105 100 101 102 103 104 ㎡ freq (Hz) freq (Hz) 1) Sketch the filter response to an input signal r(t) 3cos(215000. State any assumptions you make 2) Sketch the filter response to an input signal a (1 # 2cos 5000t make State any assuniptions you ive an expression for the outsial x(t) amplitude vs freq x() phase vs freq 60 (SealBop) eseyd 2 000001
Topics: Filter Design by Pole Zero Placement PROBLEM Problem #2 . a) Design a simple FIR second order filter with real coefficients, causal, stable and with unity AC gain. Its steady state response is required to be zero when the input is: xIn]cos [(T/3)n] u[n] H(z) R.O.C: answer: b) Find the frequency response for the previous filter. H(0) c) Sketch the magnitude frequency response. T/3 t/3 d) Find the filter impulse response. h[n] e) Verify that the steady state step...
SIGNALS AND SYSTEMS (PLEASE UPLOAD MATLAB CODE) 5.37 Non-causal filter-Consider a filter with frequency response HG2)sin2) or a sinc function in frequency. (a) Find the impulse response h(t) of this filter. Plot it and indicate whether this filter is a causal system or not. (b) Suppose you wish to obtain a band-pass filter G(jS2) from Hj2). If the desired center frequency of |G(jS2)| is 5, and its desired magni- tude is 1 at the center frequency, how would you process...
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...
Question 5 (a) The impulse response of a discrete-time filter is given as, hin) 0.56n-1] +n-2)0.56 n -3]. i. Derive the filter's frequency response; 11. Roughly sketch the filter's magnitude response for 0 ii. Is it a low-pass or high-pass filter? Ω 2m; (b) A continuous-time signal se(t) is converted into a discrete-time signal as shown below. s(t) is a unit impulse train. s(t) x,) Conversion into x(1) __→ⓧ一ㄅㄧ-discrete-time sequence ー→ xu [n] The frequency spectrum of ap (t) is...
2.7.5 The impulse response of a continuous-time LTI system is given by (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) = δ(t-2) (This is a delay of 2.) (a) What is the frequency response H (w) of this system? (b) Find and sketch the frequency response...
3. Sketch stuff (by hand or by computer) 3.1 Systems signals The signal x()-sin^t), for 0stsl; is applied to a circuit with an impulse response given by h(t)-2, for Osts1. Sketch these signals and the output of the circuit If the input signal is now set to x()-6(t-3), sketch the input and output signals. (3.2)