An encoded, digital video input signal having a base signal and at least one differential extension signal is transcoded by determining a first piece of page data and a first piece of transform coefficient data from the base signal; determining one respective second piece of page data and one respective piece of transform coefficient data from the base signal; and determining one respective second piece of page data and one respective piece of transform coefficient data from at least one differential extension signal. A third piece of page data is generated from the first and at least one second piece of page data, and a third piece of transform coefficient data is generated from the first and at least one second piece of transform coefficient data using a weighted addition. An encoded, digital video output signal is generated from the third pieces of page data and transform coefficient data.