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Sin/cos generation using table lookup and interpolation. | Niels Moseley's bloggy bits
https://namoseley.wordpress.com/2015/07/26/sincos-generation-using-table-lookup-and-iterpolation
Niels Moseley's bloggy bits. Mathematics, Signal processing, Electronics and RF/Radio. Sin/cos generation using table lookup and interpolation. July 26, 2015. A simple way to generate waveforms is to read the contents of a table, which resides in memory, at a constant speed. Usually, a single cycle of the desired waveform is stored in the table. When the table has. Number of entries and the table entries are read at a speed of. Entries per second, the frequency of the generated waveform will be. The lowe...
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Sin(x) using Taylor series: better than expected | Niels Moseley's bloggy bits
https://namoseley.wordpress.com/2012/09/23/sinx-using-taylor-series-better-than-expected
Niels Moseley's bloggy bits. Mathematics, Signal processing, Electronics and RF/Radio. Sin(x) using Taylor series: better than expected. September 23, 2012. In the previous posts [ 1. Approximations, I quickly discarded the Taylor series believing their approximation error characteristics were not ideal. However, this was based on using the Taylor derived polynomial for the entire domain. In the ‘ better sin(x). I tried it with the following results. Terms, can be compactly written as:. Clearly, the maxi...
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A better sin(x) approximation | Niels Moseley's bloggy bits
https://namoseley.wordpress.com/2012/09/21/a-better-sinx-approximation
Niels Moseley's bloggy bits. Mathematics, Signal processing, Electronics and RF/Radio. A better sin(x) approximation. September 21, 2012. I showed a simple algorithm for approximating. The third harmonic was -28.6 dBc, which is not good enough for high-quality sound synthesis. In this post, I will derive a more accurate approximation polynomial. The first change we will make in the algorithm is to split the domain. These should be equal to. Respectively. This leads to the following constraints:. Given ou...
