Function reconstruct_spectrum 

pub fn reconstruct_spectrum(
    sparse_result: &SparseFFTResult,
    n: usize,
) -> FFTResult<Vec<Complex64>>

Reconstruct the full spectrum from sparse FFT result

Arguments

• sparse_result - The sparse FFT result
• n - Length of the full spectrum

Returns

• Full spectrum

Examples

use scirs2_fft::sparse_fft::{sparse_fft, reconstruct_spectrum};

// Generate a sparse signal
let n = 64;
let mut signal = vec![0.0; n];
for i in 0..n {
    let t = 2.0 * std::f64::consts::PI * (i as f64) / (n as f64);
    signal[i] = 1.0 * (3.0 * t).sin() + 0.5 * (7.0 * t).sin();
}

// Compute sparse FFT with k=4
let sparse_result = sparse_fft(&signal, 4, None, None).unwrap();

// Reconstruct full spectrum
let full_spectrum = reconstruct_spectrum(&sparse_result, n).unwrap();

// The reconstructed spectrum should have length n
assert_eq!(full_spectrum.len(), n);