Design linear discrete-time systems and filters and analyze their behavior. Represent continuous-time signals and linear systems in discrete time, so that such signals can be recovered in continuous ...

• Understand and apply the continuous time Fourier transform, discrete time Fourier transform, Laplace transform, and z-Transform, to the analysis and description of LTI continuous and discrete-time ...

Discrete-time Fourier series and Fourier transforms including complex convolution: applications to linear systems. Discrete Fourier transforms and Fast Fourier algorithm.

In particular the course covers the theory and practice of digital filters and Fourier transform based spectrum analysis. Spectral descriptions of continuous-time and discrete-time waveforms are ...

You probably have at least a nodding familiarity with the Fourier transform, a mathematical process for transforming a time-domain signal into a frequency domain signal. In particular, for computer… ...

This result is used to analyze the structure of rings which support discrete Fourier transforms. SIAM Journal on Applied Mathematics contains research articles on mathematical methods and their ...

ABSTRACT This paper presents an efficient methodology for discrete Asian options that is consistent with different types of underlying densities – especially non-normal returns as suggested in the ...

However, if every period of the sound is analyzed, it will be seen that the spectrum is always changing in time, i.e. the harmonic components in the spectrum are constantly changing in amplitude. A ...