A memory system for network broadcasting applications, such as video/audio applications, has at least one memory which is divided into a plurality of addressable memory units, which have a respective dedicated output for interchanging data. The inputs of a matrix switch are connected to a respective output of a different memory unit. The matrix switch is operated such that a plurality of the memory units are connected to its output in a sequential order. A first sequence of memory units and a second sequence of memory units are connected to its output independently. This results in a memory system, which can handle a number of requests to the same memory at staggered times. The interaction of the individual memory units with the matrix switch allows a high data throughput and a short access time.