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   Harmonic Balance Technical Notes >
       Nexxim N-Tone Harmonic Balance Analysis           


Nexxim N-Tone Harmonic Balance Analysis

Multi-tone or N-tone harmonic balance analysis computes the steady-state response of a circuit to two or more input sinusoids. The output yields a spectrum with all the elements of the harmonic series of the two fundamental inputs and their intermodulation (sum and difference) frequencies. The Fourier coefficients in multi-tone harmonic balance represent harmonic and intermodulation distortion.

An N-tone mixer harmonic balance analysis uses one or more tone frequencies, f1 through fN, each with a specified number of harmonics M1 through MN to be used in the analysis. In the typical N-tone mixer analysis, one of the tones has greater power than the others and is analyzed over a greater number of harmonics. The harmonic series for tone f1 contains harmonic numbers k1 = 1, 2, ... M1. The series for tone fN contains harmonic numbers kN = 1, 2, ... MN.

The harmonic balance analysis yields the Discrete Fourier coefficients of the output at the frequencies

k1f1 + k2f2 + ... + kNfN, |ki| ≤ Mi

If the frequency content at harmonic k is [V, I], the frequency content at harmonic -k is the complex conjugate [V*, I*].



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