An arrangement for optimized weighting of transmitted transformation coefficients in transformation coders for the purpose of minimizing convolution distortions in the transformation coding of image signals for the purpose of a data reduction and/or for the purpose of achieving a prescribed channel rate, has weighting circuitry whereby coefficients to be transmitted are additionally subjected to a weighting or windowing; and the selection of suitable weighting factors which effect a minimization of the convolution distortions in the reconstructed image is executed, dependent on the plurality of coefficients to be transmitted.