On the compensation of the (sin x)/x distortion in discrete-time to continuous-time signal conversions

Discrete-time to continuous-time signal conversions introduce the well known (sin x)/x spectral distortion. This paper presents an analytical methodology which adjusts the Q-factors and/or the pole magnitudes of the system to compensate the distortion. From this methodology three compensation methods are derived. Each method establishes a distinct tradeoff between precision and computational effort. The compensation techniques are very simple to implement and do not modify the order of the uncompensated system. The initial formulation is extended to include the compensation of z-domain transfer functions. Examples and comparisons demonstrate the effectiveness and applicability of the proposed methodology