Institution: Rice University

Keywords: continuous time, convolution, discrete time, elec 301, fast fourier transform, FFT, fourier series, fourier transform, frequency domain, impulse response, labview, laplace transform, linear algebra, reconstruction, rice university, sampling, signal, signal processing, system, time domain, transform, z-transform

Summary: This course deals with signals, systems, and transforms, from their theoretical mathematical foundations to practical implementation in circuits and computer algorithms. At the conclusion of ELEC 301, you should have a deep understanding of the mathematics and practical issues of signals in continuous and discrete time, linear time invariant systems, convolution, and Fourier transforms.

Keywords: alias, aliasing, reconstruction, sample, sampling

Summary: This module introduces the idea of aliasing and gives examples of it in sampling and reconstruction problems.

Keywords: approximation, Hilbert space, orthogonal, orthonormal, projection

Summary: This module introduces approximation and projections in Hilbert space.

Keywords: cauch-schwarz, cauchy, cauchy-schwarz inequality, csi, cuachy, frequency shift keying, fsk, hilbert, hilbert space, inner product, inner products, inner product space, matched filter, matched filter detector, matched filters, proof, radar, schwarz, waldo

Summary: This module provides both statement and proof of the Cauchy-Schwarz inequality and discusses its practical implications with regard to the matched filter detector.

Keywords: complex, complex-valued, continuous time, dirac delta function, exponential, impulse, sifting property, signals, unit step

Summary: Presents several useful continuous time signals.