The impulse is defined as
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Impulse is defined as the change in momentum of an object in a collision. Impulse = mass * δv = mass * (vfinal - vinitial). Given these values: mass = 0.2986 [kg] and velocityinitial = 0.383 [ms-1] and velocityfinal = -0.3064 [ms-1], what is the Impulse? Use three significant figures and answer in Ns. Note: 1 [kg ms-1] = 1 [Ns] (Ns = Newton Second) and 1 [Newton] = 1 [kg ms-2]. What does impulse equal?
Determine the impulse response coefficient of a low pass FIR filter of length 3 defined by a symmetrical impulse response, h[0] h[2]. Let the input to this filter be a sum of two cosine sequence of angular frequency 0.2 rad/samples and 0.4 rad/samples [Tentukan pekali sambutan dedenyut untuk suatu penapis lulus rendah (FIR) dengan panjang 3 yang ditakrifkan oleh suatu sambutan dedenyut simetri, h[0] h[2]. Biarkan masukkan kepada penapis ini sebagai hasiltambah dua urutan kosin dengan frekuensi sudut 0.2 radsampel...
4. Consider a certain system defined by impulse response h(n) such that calculate the following: i. transfer function ii. magnitude response of the filter i phase response of the filter iv. sketch magnitude and phase response of the filter at intervals (π/10) radians (13 Marks) (3 Marks) (3 Marks) (6 Marks)
3. Problem 3 [Impulse). One of the most important digital signals is the so-called unit impulse sequence, which is a discrete time function whose sample is equal to zero for all values of the time index n except n = 0, where it has unity value, that is, Ji, n=0, 8[n] = 0, n+0. Page 6 (a) (2 points) Draw a graphical representation of the signal 8[n]. The horizontal axis should indicate the time-index value n = ..., -2,-1,0,1,2,... and...
Consider the signal x[n] and the impulse response h[n] defined below: x[n] = u[n] − u[n − 49] h[n] = u[n] − u[n − 3]. Sketch y[n] = x[n] ∗ h[n] (the convolution of x[n] and h[n]). You must justify your answer by showing some intermediate calculations and/or sketches.
I. Assume that the system impulse response h(t) is defined by h(y-exp-2) u(o (a) Calculate the Hin using the definition of Fourier Integral (Solve the integral) (b) Based on the results of part (a) you calculated, what do you think this system is? IGive reasoning for your answer!] (2) (e) For the signal x(-4Cos od +4 Sin'od, find All Complex (exponential) Fourier Series Coefficients Ca [Use formula sheet for Cos and Sine for exponential
1. An LTI system has impulse response defined by h (n )={2 ,2 ,−1,−1 ,−1,−1}first 2 zero . Determine the outputs when the input x(n) is (a) u(n ) ; (b) u(n−4 ) 2. Let the rectangle pulse x ( n )=u ( n ) −u (n −10 ) be an input to an LTI system with impulse response h (n )=(0.9 )n u (n ) . Determine the output y ( n ) . (Hint: You need to consider muliple...
III.(6 pts.) A system is defined the following pole zero plot, where H(0)-10. a) Find the step response of the system.< Note: step response, not impulse response. b) (+3) Find the output, y(). when the input is x()-8(0)-e) H(O) 10 -1 -2
III.(6 pts.) A system is defined the following pole zero plot, where H(0)-10. a) Find the step response of the system.
Consider that a CT system with unit impulse response h(t)=u(t) is excited by the input signal defined as 0,<-3 t +3,-3<t < 0 x(t) = { t -- +3,0 < t < 6 0,t> 6 Find the output of the system and plot it. (10 points)
1. A discrete-time LTI system has the system function H(z) given below: H(2)1 2 (e) Determine the impulse response hin] associated with the stable system defined by this system function. (f) Make a careful sketch of the frequency response magnitude, i.е., IH(ew), of this system for lwl S T. Label your sketch!
1. A discrete-time LTI system has the system function H(z) given below: H(2)1 2 (e) Determine the impulse response hin] associated with the stable system defined by this...