/**
 * Exact Parks-McClellan (Remez exchange) optimal equiripple FIR design.
 *
 * This is a faithful TypeScript port of the classic McClellan-Parks-Rabiner
 * FORTRAN program (via Erik Kvaleberg's `remez.c`), the same code SciPy wraps
 * in `scipy.signal.remez` (`_sigtoolsmodule.cc`: `pre_remez` + `remez`). It
 * replaces the earlier Lawson-IRLS approximation. Conventions match SciPy
 * exactly: band edges are normalized to `[0, 0.5]` (`fs = 1`, `0.5 = Nyquist`),
 * `desired`/`weight` carry one value per band (length `bands.length / 2`), and
 * `type` is `'bandpass'` (symmetric), `'differentiator'`, or `'hilbert'`
 * (antisymmetric). Coefficients are pinned against `scipy.signal.remez` in
 * `functions/tests/remez-pm.test.ts`.
 *
 * The port preserves the original's 1-based array indexing and control flow
 * (the extremal-search `goto` block is expressed as a small state machine) so
 * that it reproduces SciPy's discrete-grid extremal selection bit-for-bit.
 */
/**
 * Filter type for the Remez exchange design: bandpass, differentiator or Hilbert
 * transformer.
 */
export type RemezType = 'bandpass' | 'differentiator' | 'hilbert';
/**
 * Optimal equiripple FIR design (`scipy.signal.remez`) via the exact
 * Parks-McClellan / Remez exchange algorithm. `bands` is a flat list of band
 * edges normalized to `[0, 0.5]` (`fs = 1`, `0.5 = Nyquist`); `desired` and
 * `weight` carry one value per band (`bands.length / 2` entries). `type`
 * selects the linear-phase family (`'bandpass'` symmetric; `'differentiator'`
 * and `'hilbert'` antisymmetric). Returns `numtaps` FIR coefficients.
 */
export declare function remezExchange(numtaps: number, bands: readonly number[], desired: readonly number[], weight?: readonly number[], type?: RemezType, maxiter?: number, gridDensity?: number): number[];
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