2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/223014The usual inflationary scenario predicts a Gaussian random primordial density fluctuation, different Fourier modes of which do not correlate with each other. In this paper we propose a correlation between these different modes. A simple case is that these different Fourier modes correlate with each other following a Gaussian function. For such a primordial density fluctuation we calculate the CMB angular power spectrum and find that its amplitude decreases but the decrease is different for different $l$. This feature can be used to constrain the the correlation strength from the real data.accepted by PRD, 5 pages, 6 figuresCosmology and Nongalactic Astrophysicstext