How many ms delay does a 100Hz signal have if it is delayed by 90 degrees? Given an invertible impulse response h and the output y of a linear amplifier, how can you recover the input to the amplifier? What is meant by synthesis and analysis equations in the context of the Fourier Transform? How would you recover an original signal from its frequency components? What is the difference between the Fourier Transform (FT), Discrete-Time Fourier Transform (DTFT), and Discrete Fourier Transform (DFT)? How many operations are required to evaluate N=1024 frequencies of a signal of length 1024? a) Using DFT b) Using FFT c) Which one is faster and by how many times? What is the meaning of a negative frequency? Give an example of a signal with negative frequency only. What does the Fourier transform at zero frequency represent? If you take the FFT of a signal with 1000 samples and the sampling rate is 250Hz, how wide is each frequency bin (in Hz)? 250Hz/1000 = 0.25Hz