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  2. Downsampling (signal processing) - Wikipedia

    en.wikipedia.org/wiki/Downsampling_(signal...

    Reduce high-frequency signal components with a digital lowpass filter. Decimate the filtered signal by M; that is, keep only every M th sample. Step 2 alone creates undesirable aliasing (i.e. high-frequency signal components will copy into the lower frequency band and be mistaken for lower frequencies). Step 1, when necessary, suppresses ...

  3. Goertzel algorithm - Wikipedia

    en.wikipedia.org/wiki/Goertzel_algorithm

    The Goertzel algorithm is a technique in digital signal processing (DSP) for efficient evaluation of the individual terms of the discrete Fourier transform (DFT). It is useful in certain practical applications, such as recognition of dual-tone multi-frequency signaling (DTMF) tones produced by the push buttons of the keypad of a traditional analog telephone.

  4. Aliasing - Wikipedia

    en.wikipedia.org/wiki/Aliasing

    Fig.5: Graph of frequency aliasing, showing folding frequency and periodicity. Frequencies above f s /2 have an alias below f s /2, whose value is given by this graph. Two complex sinusoids, colored gold and cyan, that fit the same sets of real and imaginary sample points when sampled at the rate ( f s ) indicated by the grid lines.

  5. Parks–McClellan filter design algorithm - Wikipedia

    en.wikipedia.org/wiki/Parks–McClellan_filter...

    The y-axis is the frequency response H(ω) and the x-axis are the various radian frequencies, ω i. It can be noted that the two frequences marked on the x-axis, ω p and ω s. ω p indicates the pass band cutoff frequency and ω s indicates the stop band cutoff frequency. The ripple like plot on the upper left is the pass band ripple and the ...

  6. Nyquist–Shannon sampling theorem - Wikipedia

    en.wikipedia.org/wiki/Nyquist–Shannon_sampling...

    The figure on the left shows a function (in gray/black) being sampled and reconstructed (in gold) at steadily increasing sample-densities, while the figure on the right shows the frequency spectrum of the gray/black function, which does not change. The highest frequency in the spectrum is half the width of the entire spectrum.

  7. Range ambiguity resolution - Wikipedia

    en.wikipedia.org/wiki/Range_ambiguity_resolution

    Range aliasing occurs when reflections arrive from distances that exceed the distance between transmit pulses at a specific pulse repetition frequency (PRF). Range ambiguity resolution is required to obtain the true range when the measurements are made using a system where the following inequality is true.

  8. Butterworth filter - Wikipedia

    en.wikipedia.org/wiki/Butterworth_filter

    The function is defined by the three poles in the left half of the complex frequency plane. Log density plot of the transfer function () in complex frequency space for the third-order Butterworth filter with =1. The three poles lie on a circle of unit radius in the left half-plane.

  9. Instantaneous phase and frequency - Wikipedia

    en.wikipedia.org/wiki/Instantaneous_phase_and...

    Instantaneous phase and frequency are important concepts in signal processing that occur in the context of the representation and analysis of time-varying functions. [1] The instantaneous phase (also known as local phase or simply phase ) of a complex-valued function s ( t ), is the real-valued function: