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This paper investigates the problem of the design and the implementation of time-delay chaotic circuits. A simple feedback scheme consisting of a nonlinearity, a first-order RC circuit and a delay block has been fixed and a procedure to design the characteristics of these blocks in order to obtain chaotic dynamics has been introduced. A series of n Bessel filters in cascade is used to implement the time-delay. The suitability of the approach is demonstrated with an example: a new chaotic circuit has been first designed and, then, implemented with off-the-shelf discrete components. The approach allows us to design and implement a new class of time-delay chaotic circuits with simple components, like resistors, capacitors, and operational amplifiers.