Homework Answers
Answer is A: Her conditioned response has been extinguished. Extinction is a process in which the Conditoned Stimulus is presented repeatedly in the absence of the Unconditioned Stimulus, causing the conditioned respnse to weaken and eventually dissapear.
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picy restore t h e Sherides the f olha Hot by the end of the wishes...
Problem 4: Evaluation of the convolution integral too y(t) = (f * h)(t) = f(t)h(t –...
Problem 4: Evaluation of the convolution integral too y(t) = (f * h)(t) = f(t)h(t – 7)dt is greatly simplified when either the input f(t) or impulse response h(t) is the sum of weighted impulse functions. This fact will be used later in the semester when we study the operation of communication systems using Fourier analysis methods. a) Use the convolution integral to prove that f(t) *8(t – T) = f(t – T) and 8(t – T) *h(t) = h(t...
Determine the system response y(t) for h(t)=u(t)+u(t-2) and x(t)=u(t). [Hint: use Laplace Transform multiplication: L[x(t)h(t)) =...
Determine the system response y(t) for h(t)=u(t)+u(t-2) and x(t)=u(t). [Hint: use Laplace Transform multiplication: L[x(t)h(t)) = x(s)H(s). Useful Formula: Fourier Transform: F[f(t)] = F(w) sof(t)e-jw dt Inverse Fourier Transform: F-1[F(w)] = f (t) = 24., F(w)ejwidw Time Transformation property of Fourier Transform: f(at – to). FC)e=itoch Laplace Transform: L[f(t)] = F(s) = $© f(t)e-st dt Shifting property: L[f(t – to)u(t – to)] = e-toSF(s) e [tuce) = 1 and c [u(e) = )
5. Fourier Transform and System Response (12 pts) A signal æ(t) = (e-t-e-3t)u(t) is input to...
5. Fourier Transform and System Response (12 pts) A signal æ(t) = (e-t-e-3t)u(t) is input to an LTI system T with impulse response h(t) and the output has frequency content Y(jw) = 3;w – 4w2 - jw3 (a) (10 pts) Find the Fourier transform H(jw) = F{h(t)}, i.e., the frequency response of the system. (b) (2 pts) What operation does the system T perform on the input signal x(t)?
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...
can please explain why F(sigma)= u? We consider the PDE: for given o(t) € H|(12) find...
can please explain why F(sigma)= u?
We consider the PDE: for given o(t) € H|(12) find the (weak) solution u € H}(2) of V. (g(x)Vu(x)) = 1. The corresponding parameter-to-solution map is defined as F: D(F):= H (1) C H²(2) L’(1) F(o)= u uc H (12) c L’(2) solving b(u, w;o) = f(w) for all w e H7(), b(u, w; 0) := ( D2.Vwdi, f(w):=- / w dr. The associated inverse problem is for u E L(12) find o E...
e phone Propose mechanisms for the following reactions t h roug h radi o od osmans...
e phone Propose mechanisms for the following reactions t h roug h radi o od osmans (a) Ph-C-ci + (CH) CHOH - Ph-C-OCH(CH3)2 (b) Ph-C-OCH, NaOH Ph-C-0- + CH,OH HO $ 135 1o slona CH3 OAc - он (D) CH -CH-CH.CH, (R)-butan-2-ol Ac, Tacetic anhydride) CH, CH-CH,CH, 2-butyl acetate
v e, v, z)dzdydz where f(e.v.)3 Evaluate the triple integral D and Triple Integral Region R Remember that: H(u, t, u)|J(u, v, w)ldududu F(z, y, z)dV Preview t lower limit Preview น upper limit- U...
v e, v, z)dzdydz where f(e.v.)3 Evaluate the triple integral D and Triple Integral Region R Remember that: H(u, t, u)|J(u, v, w)ldududu F(z, y, z)dV Preview t lower limit Preview น upper limit- U lower limit Preview upper limit w lower limit upper limit H(u, o, w)- Preview Preview Ila Preview H(u, e, w)J(u,v, wdudedu Hint: The focus of this problem is on evaluating the integral and using the Jacobian.
v e, v, z)dzdydz where f(e.v.)3 Evaluate the triple...
Uuesto 17, P ING (Smalto)Ungination FB Oh how $1.3 broneywer Sou t h ini e Delmeland...
Uuesto 17, P ING (Smalto)Ungination FB Oh how $1.3 broneywer Sou t h ini e Delmeland water W will get the o Sudark will give him the che
2.48 A filter has frequency response function H(f) Π(f/28) and input x(t) = 2Wsinc (2W1). (a) Find the output y(t) for W < B (b) Find the output y(a) for W > B. (c) In which case does the outpu...
2.48 A filter has frequency response function H(f) Π(f/28) and input x(t) = 2Wsinc (2W1). (a) Find the output y(t) for W < B (b) Find the output y(a) for W > B. (c) In which case does the output suffer distortion?
2.48 A filter has frequency response function H(f) Π(f/28) and input x(t) = 2Wsinc (2W1). (a) Find the output y(t) for W B. (c) In which case does the output suffer distortion?
Problem #7; Consider the functions f(t = e' and g(f) = e 3 defined on 0...
Problem #7; Consider the functions f(t = e' and g(f) = e 3 defined on 0 t < co. (a) (f*g)(t) can be calculated as h(w, tdw Enter the function h(w, t into the answer box below Hs)}. Enter the function H(s) into the answer box below (b) (f* g)(t) can also be calculated as L (c) Evaluate (f* g)(t) Enter your answer as a symbolic function of w,t, as in these examples Problem #7(a): Enter your answer as a...
Problem 4: Evaluation of the convolution integral too y(t) = (f * h)(t) = f(t)h(t – 7)dt is greatly simplified when either the input f(t) or impulse response h(t) is the sum of weighted impulse functions. This fact will be used later in the semester when we study the operation of communication systems using Fourier analysis methods. a) Use the convolution integral to prove that f(t) *8(t – T) = f(t – T) and 8(t – T) *h(t) = h(t...
Determine the system response y(t) for h(t)=u(t)+u(t-2) and x(t)=u(t). [Hint: use Laplace Transform multiplication: L[x(t)h(t)) = x(s)H(s). Useful Formula: Fourier Transform: F[f(t)] = F(w) sof(t)e-jw dt Inverse Fourier Transform: F-1[F(w)] = f (t) = 24., F(w)ejwidw Time Transformation property of Fourier Transform: f(at – to). FC)e=itoch Laplace Transform: L[f(t)] = F(s) = $© f(t)e-st dt Shifting property: L[f(t – to)u(t – to)] = e-toSF(s) e [tuce) = 1 and c [u(e) = )
5. Fourier Transform and System Response (12 pts) A signal æ(t) = (e-t-e-3t)u(t) is input to an LTI system T with impulse response h(t) and the output has frequency content Y(jw) = 3;w – 4w2 - jw3 (a) (10 pts) Find the Fourier transform H(jw) = F{h(t)}, i.e., the frequency response of the system. (b) (2 pts) What operation does the system T perform on the input signal x(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...
can please explain why F(sigma)= u?
We consider the PDE: for given o(t) € H|(12) find the (weak) solution u € H}(2) of V. (g(x)Vu(x)) = 1. The corresponding parameter-to-solution map is defined as F: D(F):= H (1) C H²(2) L’(1) F(o)= u uc H (12) c L’(2) solving b(u, w;o) = f(w) for all w e H7(), b(u, w; 0) := ( D2.Vwdi, f(w):=- / w dr. The associated inverse problem is for u E L(12) find o E...
e phone Propose mechanisms for the following reactions t h roug h radi o od osmans (a) Ph-C-ci + (CH) CHOH - Ph-C-OCH(CH3)2 (b) Ph-C-OCH, NaOH Ph-C-0- + CH,OH HO $ 135 1o slona CH3 OAc - он (D) CH -CH-CH.CH, (R)-butan-2-ol Ac, Tacetic anhydride) CH, CH-CH,CH, 2-butyl acetate
v e, v, z)dzdydz where f(e.v.)3 Evaluate the triple integral D and Triple Integral Region R Remember that: H(u, t, u)|J(u, v, w)ldududu F(z, y, z)dV Preview t lower limit Preview น upper limit- U lower limit Preview upper limit w lower limit upper limit H(u, o, w)- Preview Preview Ila Preview H(u, e, w)J(u,v, wdudedu Hint: The focus of this problem is on evaluating the integral and using the Jacobian.
v e, v, z)dzdydz where f(e.v.)3 Evaluate the triple...
Uuesto 17, P ING (Smalto)Ungination FB Oh how $1.3 broneywer Sou t h ini e Delmeland water W will get the o Sudark will give him the che
2.48 A filter has frequency response function H(f) Π(f/28) and input x(t) = 2Wsinc (2W1). (a) Find the output y(t) for W < B (b) Find the output y(a) for W > B. (c) In which case does the output suffer distortion?
2.48 A filter has frequency response function H(f) Π(f/28) and input x(t) = 2Wsinc (2W1). (a) Find the output y(t) for W B. (c) In which case does the output suffer distortion?
Problem #7; Consider the functions f(t = e' and g(f) = e 3 defined on 0 t < co. (a) (f*g)(t) can be calculated as h(w, tdw Enter the function h(w, t into the answer box below Hs)}. Enter the function H(s) into the answer box below (b) (f* g)(t) can also be calculated as L (c) Evaluate (f* g)(t) Enter your answer as a symbolic function of w,t, as in these examples Problem #7(a): Enter your answer as a...
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