Calculate (3t) * t^4 where * denotes convolution.
(3t)*t^4 =
4. Find the convolution of the following functions a. f(t)=t g(t) = sin 3t b. f(t)=é g(t)=cos2t
please show all your work (The operator ?? denotes convolution.)? PROBLEM sp-10-F.4: For each of the following time-domain signals, select the correct match from the list of Fourier transforms below. Write your answers in the boxes next to the question.(The operator *denotes convolution.) x()u(t +4)- u(t-4) x(1)=?(1-2) * e-1 + in(1-1)*3(1-1) x(t)-cos(rt) * ?(1-4) -00 Each of the time signals above has a Fourier transform that should be in the list below [0] X(jo) not in the list below 40...
Derive and sketch the fourier transform: g(x) = sinc(x/10)*cos(2πx) (where * denotes convolution)
2(a). Compute and plot the convolution of ytryh)x where h(t) t)-u(t-4), x(t)u(t)-u(t-1) and zero else b). Compute and plot the convolution y(n) h(n)*x (n) where h(n)-1, for 0Sns4, x(n) 1, n 0, 1 and zero else.
4. Use the convolution integral to find f, where f = g*h, and g(t) = et ult) h(t) = e-2t u(t) Note that both of these are causal to simplify the integration.
2. Using direct convolution (i.e., the integral), determine the convolution between r(t) and h(t), where h(t) and r(t) are defined as (note: please do NOT just plug in the formulas we derived in the class): h(t) exp(-2t) u (t) and x(t) = exp(-t)u(t), u(t) is the unit step function. h(t) exp(-t)u (t) and r(t)= exp(-t)u(t)
4. The height of a sand dune (in centimeters) is represented by f(t)=700-3t, where t is measured in years since 2005. (10 pts.) a. Find the height of the sand dune in the year 2015. b. Find how fast the height of the sand dune was changing in 2015.
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
The response of a first-order system is written as x(t) = 12e-3t+a, where a = 24. Calculate the steady-state solution.
Make a function to generate: y = t sin (3t) where t is an input by the user to the function using matlab